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Finding the Third Proportional to 176,582 and 382,493

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Solution

The third proportional to 176,582 and 382,493 is: 828,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,582 : 382,493 = 382,493 : x
  2. Step 2: Convert to fraction form
    176,582/382,493 = 382,493/x
  3. Step 3: Cross multiply
    176,582x = 382,493 × 382,493
  4. Step 4: Simplify right side
    176,582x = 146,300,895,049
  5. Step 5: Solve for x
    x = 146,300,895,049/176,582
  6. Step 6: Final answer
    x = 828,515.34

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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.