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Finding the Third Proportional to 139,334 and 296,650

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Solution

The third proportional to 139,334 and 296,650 is: 631,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,334 : 296,650 = 296,650 : x
  2. Step 2: Convert to fraction form
    139,334/296,650 = 296,650/x
  3. Step 3: Cross multiply
    139,334x = 296,650 × 296,650
  4. Step 4: Simplify right side
    139,334x = 88,001,222,500
  5. Step 5: Solve for x
    x = 88,001,222,500/139,334
  6. Step 6: Final answer
    x = 631,584.70

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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.