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Finding the Third Proportional to 132,052 and 284,637.50

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Solution

The third proportional to 132,052 and 284,637.50 is: 613,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,052 : 284,637.50 = 284,637.50 : x
  2. Step 2: Convert to fraction form
    132,052/284,637.50 = 284,637.50/x
  3. Step 3: Cross multiply
    132,052x = 284,637.50 × 284,637.50
  4. Step 4: Simplify right side
    132,052x = 81,018,506,406.25
  5. Step 5: Solve for x
    x = 81,018,506,406.25/132,052
  6. Step 6: Final answer
    x = 613,534.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.