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Finding the Third Proportional to 234,073.13 and 348,949.69

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Solution

The third proportional to 234,073.13 and 348,949.69 is: 520,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,073.13 : 348,949.69 = 348,949.69 : x
  2. Step 2: Convert to fraction form
    234,073.13/348,949.69 = 348,949.69/x
  3. Step 3: Cross multiply
    234,073.13x = 348,949.69 × 348,949.69
  4. Step 4: Simplify right side
    234,073.13x = 121,765,884,406.35
  5. Step 5: Solve for x
    x = 121,765,884,406.35/234,073.13
  6. Step 6: Final answer
    x = 520,204.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.