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Finding the Third Proportional to 243,137.25 and 390,654

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Solution

The third proportional to 243,137.25 and 390,654 is: 627,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,137.25 : 390,654 = 390,654 : x
  2. Step 2: Convert to fraction form
    243,137.25/390,654 = 390,654/x
  3. Step 3: Cross multiply
    243,137.25x = 390,654 × 390,654
  4. Step 4: Simplify right side
    243,137.25x = 152,610,547,716
  5. Step 5: Solve for x
    x = 152,610,547,716/243,137.25
  6. Step 6: Final answer
    x = 627,672.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.