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Finding the Third Proportional to 170,751 and 250,591

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Solution

The third proportional to 170,751 and 250,591 is: 367,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,751 : 250,591 = 250,591 : x
  2. Step 2: Convert to fraction form
    170,751/250,591 = 250,591/x
  3. Step 3: Cross multiply
    170,751x = 250,591 × 250,591
  4. Step 4: Simplify right side
    170,751x = 62,795,849,281
  5. Step 5: Solve for x
    x = 62,795,849,281/170,751
  6. Step 6: Final answer
    x = 367,762.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.