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Finding the Third Proportional to 132,408 and 294,239

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Solution

The third proportional to 132,408 and 294,239 is: 653,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,408 : 294,239 = 294,239 : x
  2. Step 2: Convert to fraction form
    132,408/294,239 = 294,239/x
  3. Step 3: Cross multiply
    132,408x = 294,239 × 294,239
  4. Step 4: Simplify right side
    132,408x = 86,576,589,121
  5. Step 5: Solve for x
    x = 86,576,589,121/132,408
  6. Step 6: Final answer
    x = 653,862.22

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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.