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Finding the Third Proportional to 139,373 and 296,725

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Solution

The third proportional to 139,373 and 296,725 is: 631,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,373 : 296,725 = 296,725 : x
  2. Step 2: Convert to fraction form
    139,373/296,725 = 296,725/x
  3. Step 3: Cross multiply
    139,373x = 296,725 × 296,725
  4. Step 4: Simplify right side
    139,373x = 88,045,725,625
  5. Step 5: Solve for x
    x = 88,045,725,625/139,373
  6. Step 6: Final answer
    x = 631,727.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.