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Finding the Third Proportional to 154,127 and 230,151

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Solution

The third proportional to 154,127 and 230,151 is: 343,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,127 : 230,151 = 230,151 : x
  2. Step 2: Convert to fraction form
    154,127/230,151 = 230,151/x
  3. Step 3: Cross multiply
    154,127x = 230,151 × 230,151
  4. Step 4: Simplify right side
    154,127x = 52,969,482,801
  5. Step 5: Solve for x
    x = 52,969,482,801/154,127
  6. Step 6: Final answer
    x = 343,674.26

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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.