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Finding the Third Proportional to 176,428 and 382,500

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Solution

The third proportional to 176,428 and 382,500 is: 829,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,428 : 382,500 = 382,500 : x
  2. Step 2: Convert to fraction form
    176,428/382,500 = 382,500/x
  3. Step 3: Cross multiply
    176,428x = 382,500 × 382,500
  4. Step 4: Simplify right side
    176,428x = 146,306,250,000
  5. Step 5: Solve for x
    x = 146,306,250,000/176,428
  6. Step 6: Final answer
    x = 829,268.88

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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.