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Finding the Third Proportional to 152,592.61 and 331,455.38

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Solution

The third proportional to 152,592.61 and 331,455.38 is: 719,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,592.61 : 331,455.38 = 331,455.38 : x
  2. Step 2: Convert to fraction form
    152,592.61/331,455.38 = 331,455.38/x
  3. Step 3: Cross multiply
    152,592.61x = 331,455.38 × 331,455.38
  4. Step 4: Simplify right side
    152,592.61x = 109,862,665,616.39
  5. Step 5: Solve for x
    x = 109,862,665,616.39/152,592.61
  6. Step 6: Final answer
    x = 719,973.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.