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Finding the Third Proportional to 234,078.75 and 342,780.75

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Solution

The third proportional to 234,078.75 and 342,780.75 is: 501,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,078.75 : 342,780.75 = 342,780.75 : x
  2. Step 2: Convert to fraction form
    234,078.75/342,780.75 = 342,780.75/x
  3. Step 3: Cross multiply
    234,078.75x = 342,780.75 × 342,780.75
  4. Step 4: Simplify right side
    234,078.75x = 117,498,642,570.56
  5. Step 5: Solve for x
    x = 117,498,642,570.56/234,078.75
  6. Step 6: Final answer
    x = 501,962.02

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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.