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Finding the Third Proportional to 132,948 and 291,735

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Solution

The third proportional to 132,948 and 291,735 is: 640,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,948 : 291,735 = 291,735 : x
  2. Step 2: Convert to fraction form
    132,948/291,735 = 291,735/x
  3. Step 3: Cross multiply
    132,948x = 291,735 × 291,735
  4. Step 4: Simplify right side
    132,948x = 85,109,310,225
  5. Step 5: Solve for x
    x = 85,109,310,225/132,948
  6. Step 6: Final answer
    x = 640,169.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.