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Finding the Third Proportional to 169,539 and 230,247

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Solution

The third proportional to 169,539 and 230,247 is: 312,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,539 : 230,247 = 230,247 : x
  2. Step 2: Convert to fraction form
    169,539/230,247 = 230,247/x
  3. Step 3: Cross multiply
    169,539x = 230,247 × 230,247
  4. Step 4: Simplify right side
    169,539x = 53,013,681,009
  5. Step 5: Solve for x
    x = 53,013,681,009/169,539
  6. Step 6: Final answer
    x = 312,693.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.