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Finding the Third Proportional to 170,010 and 250,314

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Solution

The third proportional to 170,010 and 250,314 is: 368,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,010 : 250,314 = 250,314 : x
  2. Step 2: Convert to fraction form
    170,010/250,314 = 250,314/x
  3. Step 3: Cross multiply
    170,010x = 250,314 × 250,314
  4. Step 4: Simplify right side
    170,010x = 62,657,098,596
  5. Step 5: Solve for x
    x = 62,657,098,596/170,010
  6. Step 6: Final answer
    x = 368,549.49

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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.