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Finding the Third Proportional to 151,478 and 235,206

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Solution

The third proportional to 151,478 and 235,206 is: 365,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,478 : 235,206 = 235,206 : x
  2. Step 2: Convert to fraction form
    151,478/235,206 = 235,206/x
  3. Step 3: Cross multiply
    151,478x = 235,206 × 235,206
  4. Step 4: Simplify right side
    151,478x = 55,321,862,436
  5. Step 5: Solve for x
    x = 55,321,862,436/151,478
  6. Step 6: Final answer
    x = 365,213.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.