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Finding the Third Proportional to 169,332 and 361,986

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Solution

The third proportional to 169,332 and 361,986 is: 773,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,332 : 361,986 = 361,986 : x
  2. Step 2: Convert to fraction form
    169,332/361,986 = 361,986/x
  3. Step 3: Cross multiply
    169,332x = 361,986 × 361,986
  4. Step 4: Simplify right side
    169,332x = 131,033,864,196
  5. Step 5: Solve for x
    x = 131,033,864,196/169,332
  6. Step 6: Final answer
    x = 773,828.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.