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Finding the Third Proportional to 169,506 and 361,524

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Solution

The third proportional to 169,506 and 361,524 is: 771,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,506 : 361,524 = 361,524 : x
  2. Step 2: Convert to fraction form
    169,506/361,524 = 361,524/x
  3. Step 3: Cross multiply
    169,506x = 361,524 × 361,524
  4. Step 4: Simplify right side
    169,506x = 130,699,602,576
  5. Step 5: Solve for x
    x = 130,699,602,576/169,506
  6. Step 6: Final answer
    x = 771,061.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.