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Finding the Third Proportional to 139,569 and 302,781

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Solution

The third proportional to 139,569 and 302,781 is: 656,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,569 : 302,781 = 302,781 : x
  2. Step 2: Convert to fraction form
    139,569/302,781 = 302,781/x
  3. Step 3: Cross multiply
    139,569x = 302,781 × 302,781
  4. Step 4: Simplify right side
    139,569x = 91,676,333,961
  5. Step 5: Solve for x
    x = 91,676,333,961/139,569
  6. Step 6: Final answer
    x = 656,853.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.