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Finding the Third Proportional to 151,476 and 235,203

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Solution

The third proportional to 151,476 and 235,203 is: 365,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,476 : 235,203 = 235,203 : x
  2. Step 2: Convert to fraction form
    151,476/235,203 = 235,203/x
  3. Step 3: Cross multiply
    151,476x = 235,203 × 235,203
  4. Step 4: Simplify right side
    151,476x = 55,320,451,209
  5. Step 5: Solve for x
    x = 55,320,451,209/151,476
  6. Step 6: Final answer
    x = 365,209.35

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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.