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Finding the Third Proportional to 147,496 and 221,388

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Solution

The third proportional to 147,496 and 221,388 is: 332,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,496 : 221,388 = 221,388 : x
  2. Step 2: Convert to fraction form
    147,496/221,388 = 221,388/x
  3. Step 3: Cross multiply
    147,496x = 221,388 × 221,388
  4. Step 4: Simplify right side
    147,496x = 49,012,646,544
  5. Step 5: Solve for x
    x = 49,012,646,544/147,496
  6. Step 6: Final answer
    x = 332,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.