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Finding the Third Proportional to 169,182 and 245,780

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Solution

The third proportional to 169,182 and 245,780 is: 357,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,182 : 245,780 = 245,780 : x
  2. Step 2: Convert to fraction form
    169,182/245,780 = 245,780/x
  3. Step 3: Cross multiply
    169,182x = 245,780 × 245,780
  4. Step 4: Simplify right side
    169,182x = 60,407,808,400
  5. Step 5: Solve for x
    x = 60,407,808,400/169,182
  6. Step 6: Final answer
    x = 357,058.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.