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Finding the Third Proportional to 257,972.75 and 390,853.88

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Solution

The third proportional to 257,972.75 and 390,853.88 is: 592,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,972.75 : 390,853.88 = 390,853.88 : x
  2. Step 2: Convert to fraction form
    257,972.75/390,853.88 = 390,853.88/x
  3. Step 3: Cross multiply
    257,972.75x = 390,853.88 × 390,853.88
  4. Step 4: Simplify right side
    257,972.75x = 152,766,751,602.52
  5. Step 5: Solve for x
    x = 152,766,751,602.52/257,972.75
  6. Step 6: Final answer
    x = 592,181.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.