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Finding the Third Proportional to 176,294 and 387,578

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Solution

The third proportional to 176,294 and 387,578 is: 852,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,294 : 387,578 = 387,578 : x
  2. Step 2: Convert to fraction form
    176,294/387,578 = 387,578/x
  3. Step 3: Cross multiply
    176,294x = 387,578 × 387,578
  4. Step 4: Simplify right side
    176,294x = 150,216,706,084
  5. Step 5: Solve for x
    x = 150,216,706,084/176,294
  6. Step 6: Final answer
    x = 852,080.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.