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Finding the Third Proportional to 125,640 and 296,361

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Solution

The third proportional to 125,640 and 296,361 is: 699,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,640 : 296,361 = 296,361 : x
  2. Step 2: Convert to fraction form
    125,640/296,361 = 296,361/x
  3. Step 3: Cross multiply
    125,640x = 296,361 × 296,361
  4. Step 4: Simplify right side
    125,640x = 87,829,842,321
  5. Step 5: Solve for x
    x = 87,829,842,321/125,640
  6. Step 6: Final answer
    x = 699,059.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.