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Finding the Third Proportional to 132,052 and 284,639

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Solution

The third proportional to 132,052 and 284,639 is: 613,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,052 : 284,639 = 284,639 : x
  2. Step 2: Convert to fraction form
    132,052/284,639 = 284,639/x
  3. Step 3: Cross multiply
    132,052x = 284,639 × 284,639
  4. Step 4: Simplify right side
    132,052x = 81,019,360,321
  5. Step 5: Solve for x
    x = 81,019,360,321/132,052
  6. Step 6: Final answer
    x = 613,541.33

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Why These Related Problems?

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