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Finding the Third Proportional to 176,552 and 416,434

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Solution

The third proportional to 176,552 and 416,434 is: 982,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,552 : 416,434 = 416,434 : x
  2. Step 2: Convert to fraction form
    176,552/416,434 = 416,434/x
  3. Step 3: Cross multiply
    176,552x = 416,434 × 416,434
  4. Step 4: Simplify right side
    176,552x = 173,417,276,356
  5. Step 5: Solve for x
    x = 173,417,276,356/176,552
  6. Step 6: Final answer
    x = 982,244.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.