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Finding the Third Proportional to 158,211 and 231,363

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Solution

The third proportional to 158,211 and 231,363 is: 338,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,211 : 231,363 = 231,363 : x
  2. Step 2: Convert to fraction form
    158,211/231,363 = 231,363/x
  3. Step 3: Cross multiply
    158,211x = 231,363 × 231,363
  4. Step 4: Simplify right side
    158,211x = 53,528,837,769
  5. Step 5: Solve for x
    x = 53,528,837,769/158,211
  6. Step 6: Final answer
    x = 338,338.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.