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Finding the Third Proportional to 175,289 and 382,999

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Solution

The third proportional to 175,289 and 382,999 is: 836,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,289 : 382,999 = 382,999 : x
  2. Step 2: Convert to fraction form
    175,289/382,999 = 382,999/x
  3. Step 3: Cross multiply
    175,289x = 382,999 × 382,999
  4. Step 4: Simplify right side
    175,289x = 146,688,234,001
  5. Step 5: Solve for x
    x = 146,688,234,001/175,289
  6. Step 6: Final answer
    x = 836,836.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.