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Finding the Third Proportional to 172,882 and 253,095

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Solution

The third proportional to 172,882 and 253,095 is: 370,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,882 : 253,095 = 253,095 : x
  2. Step 2: Convert to fraction form
    172,882/253,095 = 253,095/x
  3. Step 3: Cross multiply
    172,882x = 253,095 × 253,095
  4. Step 4: Simplify right side
    172,882x = 64,057,079,025
  5. Step 5: Solve for x
    x = 64,057,079,025/172,882
  6. Step 6: Final answer
    x = 370,524.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.