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Finding the Third Proportional to 147,944.25 and 209,337.75

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Solution

The third proportional to 147,944.25 and 209,337.75 is: 296,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,944.25 : 209,337.75 = 209,337.75 : x
  2. Step 2: Convert to fraction form
    147,944.25/209,337.75 = 209,337.75/x
  3. Step 3: Cross multiply
    147,944.25x = 209,337.75 × 209,337.75
  4. Step 4: Simplify right side
    147,944.25x = 43,822,293,575.06
  5. Step 5: Solve for x
    x = 43,822,293,575.06/147,944.25
  6. Step 6: Final answer
    x = 296,208.16

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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.