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Finding the Third Proportional to 153,883 and 230,209

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Solution

The third proportional to 153,883 and 230,209 is: 344,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,883 : 230,209 = 230,209 : x
  2. Step 2: Convert to fraction form
    153,883/230,209 = 230,209/x
  3. Step 3: Cross multiply
    153,883x = 230,209 × 230,209
  4. Step 4: Simplify right side
    153,883x = 52,996,183,681
  5. Step 5: Solve for x
    x = 52,996,183,681/153,883
  6. Step 6: Final answer
    x = 344,392.71

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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.