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Finding the Third Proportional to 119,416 and 186,388

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Solution

The third proportional to 119,416 and 186,388 is: 290,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,416 : 186,388 = 186,388 : x
  2. Step 2: Convert to fraction form
    119,416/186,388 = 186,388/x
  3. Step 3: Cross multiply
    119,416x = 186,388 × 186,388
  4. Step 4: Simplify right side
    119,416x = 34,740,486,544
  5. Step 5: Solve for x
    x = 34,740,486,544/119,416
  6. Step 6: Final answer
    x = 290,919.86

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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.