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Finding the Third Proportional to 158,894 and 247,716

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Solution

The third proportional to 158,894 and 247,716 is: 386,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,894 : 247,716 = 247,716 : x
  2. Step 2: Convert to fraction form
    158,894/247,716 = 247,716/x
  3. Step 3: Cross multiply
    158,894x = 247,716 × 247,716
  4. Step 4: Simplify right side
    158,894x = 61,363,216,656
  5. Step 5: Solve for x
    x = 61,363,216,656/158,894
  6. Step 6: Final answer
    x = 386,189.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.