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Finding the Third Proportional to 132,523 and 294,447

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Solution

The third proportional to 132,523 and 294,447 is: 654,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,523 : 294,447 = 294,447 : x
  2. Step 2: Convert to fraction form
    132,523/294,447 = 294,447/x
  3. Step 3: Cross multiply
    132,523x = 294,447 × 294,447
  4. Step 4: Simplify right side
    132,523x = 86,699,035,809
  5. Step 5: Solve for x
    x = 86,699,035,809/132,523
  6. Step 6: Final answer
    x = 654,218.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.