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Finding the Third Proportional to 230,040 and 353,448

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Solution

The third proportional to 230,040 and 353,448 is: 543,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,040 : 353,448 = 353,448 : x
  2. Step 2: Convert to fraction form
    230,040/353,448 = 353,448/x
  3. Step 3: Cross multiply
    230,040x = 353,448 × 353,448
  4. Step 4: Simplify right side
    230,040x = 124,925,488,704
  5. Step 5: Solve for x
    x = 124,925,488,704/230,040
  6. Step 6: Final answer
    x = 543,059.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.