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Finding the Third Proportional to 243,282.50 and 387,408

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Solution

The third proportional to 243,282.50 and 387,408 is: 616,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,282.50 : 387,408 = 387,408 : x
  2. Step 2: Convert to fraction form
    243,282.50/387,408 = 387,408/x
  3. Step 3: Cross multiply
    243,282.50x = 387,408 × 387,408
  4. Step 4: Simplify right side
    243,282.50x = 150,084,958,464
  5. Step 5: Solve for x
    x = 150,084,958,464/243,282.50
  6. Step 6: Final answer
    x = 616,916.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.