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Finding the Third Proportional to 243,151.50 and 390,678

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Solution

The third proportional to 243,151.50 and 390,678 is: 627,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,151.50 : 390,678 = 390,678 : x
  2. Step 2: Convert to fraction form
    243,151.50/390,678 = 390,678/x
  3. Step 3: Cross multiply
    243,151.50x = 390,678 × 390,678
  4. Step 4: Simplify right side
    243,151.50x = 152,629,299,684
  5. Step 5: Solve for x
    x = 152,629,299,684/243,151.50
  6. Step 6: Final answer
    x = 627,712.76

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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.