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Finding the Third Proportional to 118,594.13 and 255,322.13

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Solution

The third proportional to 118,594.13 and 255,322.13 is: 549,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,594.13 : 255,322.13 = 255,322.13 : x
  2. Step 2: Convert to fraction form
    118,594.13/255,322.13 = 255,322.13/x
  3. Step 3: Cross multiply
    118,594.13x = 255,322.13 × 255,322.13
  4. Step 4: Simplify right side
    118,594.13x = 65,189,387,514.52
  5. Step 5: Solve for x
    x = 65,189,387,514.52/118,594.13
  6. Step 6: Final answer
    x = 549,684.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.