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Finding the Third Proportional to 132,538 and 284,004

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Solution

The third proportional to 132,538 and 284,004 is: 608,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,538 : 284,004 = 284,004 : x
  2. Step 2: Convert to fraction form
    132,538/284,004 = 284,004/x
  3. Step 3: Cross multiply
    132,538x = 284,004 × 284,004
  4. Step 4: Simplify right side
    132,538x = 80,658,272,016
  5. Step 5: Solve for x
    x = 80,658,272,016/132,538
  6. Step 6: Final answer
    x = 608,567.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.