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Finding the Third Proportional to 132,398 and 291,522

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Solution

The third proportional to 132,398 and 291,522 is: 641,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,398 : 291,522 = 291,522 : x
  2. Step 2: Convert to fraction form
    132,398/291,522 = 291,522/x
  3. Step 3: Cross multiply
    132,398x = 291,522 × 291,522
  4. Step 4: Simplify right side
    132,398x = 84,985,076,484
  5. Step 5: Solve for x
    x = 84,985,076,484/132,398
  6. Step 6: Final answer
    x = 641,890.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.