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Finding the Third Proportional to 176,341 and 391,922

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Solution

The third proportional to 176,341 and 391,922 is: 871,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,341 : 391,922 = 391,922 : x
  2. Step 2: Convert to fraction form
    176,341/391,922 = 391,922/x
  3. Step 3: Cross multiply
    176,341x = 391,922 × 391,922
  4. Step 4: Simplify right side
    176,341x = 153,602,854,084
  5. Step 5: Solve for x
    x = 153,602,854,084/176,341
  6. Step 6: Final answer
    x = 871,055.82

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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.