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Finding the Third Proportional to 153,266 and 227,711

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Solution

The third proportional to 153,266 and 227,711 is: 338,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,266 : 227,711 = 227,711 : x
  2. Step 2: Convert to fraction form
    153,266/227,711 = 227,711/x
  3. Step 3: Cross multiply
    153,266x = 227,711 × 227,711
  4. Step 4: Simplify right side
    153,266x = 51,852,299,521
  5. Step 5: Solve for x
    x = 51,852,299,521/153,266
  6. Step 6: Final answer
    x = 338,315.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.