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Finding the Third Proportional to 170,632 and 251,572

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Solution

The third proportional to 170,632 and 251,572 is: 370,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,632 : 251,572 = 251,572 : x
  2. Step 2: Convert to fraction form
    170,632/251,572 = 251,572/x
  3. Step 3: Cross multiply
    170,632x = 251,572 × 251,572
  4. Step 4: Simplify right side
    170,632x = 63,288,471,184
  5. Step 5: Solve for x
    x = 63,288,471,184/170,632
  6. Step 6: Final answer
    x = 370,906.23

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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.