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Finding the Third Proportional to 176,418 and 382,482

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Solution

The third proportional to 176,418 and 382,482 is: 829,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,418 : 382,482 = 382,482 : x
  2. Step 2: Convert to fraction form
    176,418/382,482 = 382,482/x
  3. Step 3: Cross multiply
    176,418x = 382,482 × 382,482
  4. Step 4: Simplify right side
    176,418x = 146,292,480,324
  5. Step 5: Solve for x
    x = 146,292,480,324/176,418
  6. Step 6: Final answer
    x = 829,237.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.