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Finding the Third Proportional to 139,344 and 296,670

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Solution

The third proportional to 139,344 and 296,670 is: 631,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,344 : 296,670 = 296,670 : x
  2. Step 2: Convert to fraction form
    139,344/296,670 = 296,670/x
  3. Step 3: Cross multiply
    139,344x = 296,670 × 296,670
  4. Step 4: Simplify right side
    139,344x = 88,013,088,900
  5. Step 5: Solve for x
    x = 88,013,088,900/139,344
  6. Step 6: Final answer
    x = 631,624.53

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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.