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Finding the Third Proportional to 235,307.53 and 353,497.92

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Solution

The third proportional to 235,307.53 and 353,497.92 is: 531,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,307.53 : 353,497.92 = 353,497.92 : x
  2. Step 2: Convert to fraction form
    235,307.53/353,497.92 = 353,497.92/x
  3. Step 3: Cross multiply
    235,307.53x = 353,497.92 × 353,497.92
  4. Step 4: Simplify right side
    235,307.53x = 124,960,780,769.94
  5. Step 5: Solve for x
    x = 124,960,780,769.94/235,307.53
  6. Step 6: Final answer
    x = 531,053.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.