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Finding the Third Proportional to 170,632 and 251,575

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Solution

The third proportional to 170,632 and 251,575 is: 370,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,632 : 251,575 = 251,575 : x
  2. Step 2: Convert to fraction form
    170,632/251,575 = 251,575/x
  3. Step 3: Cross multiply
    170,632x = 251,575 × 251,575
  4. Step 4: Simplify right side
    170,632x = 63,289,980,625
  5. Step 5: Solve for x
    x = 63,289,980,625/170,632
  6. Step 6: Final answer
    x = 370,915.07

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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.