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Finding the Third Proportional to 154,818.38 and 256,228.13

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Solution

The third proportional to 154,818.38 and 256,228.13 is: 424,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,818.38 : 256,228.13 = 256,228.13 : x
  2. Step 2: Convert to fraction form
    154,818.38/256,228.13 = 256,228.13/x
  3. Step 3: Cross multiply
    154,818.38x = 256,228.13 × 256,228.13
  4. Step 4: Simplify right side
    154,818.38x = 65,652,852,041.02
  5. Step 5: Solve for x
    x = 65,652,852,041.02/154,818.38
  6. Step 6: Final answer
    x = 424,063.69

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.