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Finding the Third Proportional to 169,058 and 253,065

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Solution

The third proportional to 169,058 and 253,065 is: 378,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,058 : 253,065 = 253,065 : x
  2. Step 2: Convert to fraction form
    169,058/253,065 = 253,065/x
  3. Step 3: Cross multiply
    169,058x = 253,065 × 253,065
  4. Step 4: Simplify right side
    169,058x = 64,041,894,225
  5. Step 5: Solve for x
    x = 64,041,894,225/169,058
  6. Step 6: Final answer
    x = 378,816.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.