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Finding the Third Proportional to 158,716 and 245,644

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Solution

The third proportional to 158,716 and 245,644 is: 380,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,716 : 245,644 = 245,644 : x
  2. Step 2: Convert to fraction form
    158,716/245,644 = 245,644/x
  3. Step 3: Cross multiply
    158,716x = 245,644 × 245,644
  4. Step 4: Simplify right side
    158,716x = 60,340,974,736
  5. Step 5: Solve for x
    x = 60,340,974,736/158,716
  6. Step 6: Final answer
    x = 380,182.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.