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Finding the Third Proportional to 176,292 and 391,824

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Solution

The third proportional to 176,292 and 391,824 is: 870,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,292 : 391,824 = 391,824 : x
  2. Step 2: Convert to fraction form
    176,292/391,824 = 391,824/x
  3. Step 3: Cross multiply
    176,292x = 391,824 × 391,824
  4. Step 4: Simplify right side
    176,292x = 153,526,046,976
  5. Step 5: Solve for x
    x = 153,526,046,976/176,292
  6. Step 6: Final answer
    x = 870,862.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.