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Finding the Third Proportional to 234,029.25 and 342,712.13

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Solution

The third proportional to 234,029.25 and 342,712.13 is: 501,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,029.25 : 342,712.13 = 342,712.13 : x
  2. Step 2: Convert to fraction form
    234,029.25/342,712.13 = 342,712.13/x
  3. Step 3: Cross multiply
    234,029.25x = 342,712.13 × 342,712.13
  4. Step 4: Simplify right side
    234,029.25x = 117,451,600,622.02
  5. Step 5: Solve for x
    x = 117,451,600,622.02/234,029.25
  6. Step 6: Final answer
    x = 501,867.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.