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Finding the Third Proportional to 316,150.59 and 482,104.41

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Solution

The third proportional to 316,150.59 and 482,104.41 is: 735,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,150.59 : 482,104.41 = 482,104.41 : x
  2. Step 2: Convert to fraction form
    316,150.59/482,104.41 = 482,104.41/x
  3. Step 3: Cross multiply
    316,150.59x = 482,104.41 × 482,104.41
  4. Step 4: Simplify right side
    316,150.59x = 232,424,658,525.67
  5. Step 5: Solve for x
    x = 232,424,658,525.67/316,150.59
  6. Step 6: Final answer
    x = 735,170.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.