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Finding the Third Proportional to 158,862 and 234,597

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Solution

The third proportional to 158,862 and 234,597 is: 346,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,862 : 234,597 = 234,597 : x
  2. Step 2: Convert to fraction form
    158,862/234,597 = 234,597/x
  3. Step 3: Cross multiply
    158,862x = 234,597 × 234,597
  4. Step 4: Simplify right side
    158,862x = 55,035,752,409
  5. Step 5: Solve for x
    x = 55,035,752,409/158,862
  6. Step 6: Final answer
    x = 346,437.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.