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Finding the Third Proportional to 148,972.13 and 209,878.13

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Solution

The third proportional to 148,972.13 and 209,878.13 is: 295,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,972.13 : 209,878.13 = 209,878.13 : x
  2. Step 2: Convert to fraction form
    148,972.13/209,878.13 = 209,878.13/x
  3. Step 3: Cross multiply
    148,972.13x = 209,878.13 × 209,878.13
  4. Step 4: Simplify right side
    148,972.13x = 44,048,827,353.52
  5. Step 5: Solve for x
    x = 44,048,827,353.52/148,972.13
  6. Step 6: Final answer
    x = 295,685.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.