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Finding the Third Proportional to 76,332 and 169,338

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Solution

The third proportional to 76,332 and 169,338 is: 375,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,332 : 169,338 = 169,338 : x
  2. Step 2: Convert to fraction form
    76,332/169,338 = 169,338/x
  3. Step 3: Cross multiply
    76,332x = 169,338 × 169,338
  4. Step 4: Simplify right side
    76,332x = 28,675,358,244
  5. Step 5: Solve for x
    x = 28,675,358,244/76,332
  6. Step 6: Final answer
    x = 375,666.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.