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Finding the Third Proportional to 154,008.50 and 230,386

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Solution

The third proportional to 154,008.50 and 230,386 is: 344,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,008.50 : 230,386 = 230,386 : x
  2. Step 2: Convert to fraction form
    154,008.50/230,386 = 230,386/x
  3. Step 3: Cross multiply
    154,008.50x = 230,386 × 230,386
  4. Step 4: Simplify right side
    154,008.50x = 53,077,708,996
  5. Step 5: Solve for x
    x = 53,077,708,996/154,008.50
  6. Step 6: Final answer
    x = 344,641.43

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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.