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Finding the Third Proportional to 257,194.13 and 549,853.88

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Solution

The third proportional to 257,194.13 and 549,853.88 is: 1,175,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,194.13 : 549,853.88 = 549,853.88 : x
  2. Step 2: Convert to fraction form
    257,194.13/549,853.88 = 549,853.88/x
  3. Step 3: Cross multiply
    257,194.13x = 549,853.88 × 549,853.88
  4. Step 4: Simplify right side
    257,194.13x = 302,339,283,852.52
  5. Step 5: Solve for x
    x = 302,339,283,852.52/257,194.13
  6. Step 6: Final answer
    x = 1,175,529.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.