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Finding the Third Proportional to 152,066 and 235,481

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Solution

The third proportional to 152,066 and 235,481 is: 364,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,066 : 235,481 = 235,481 : x
  2. Step 2: Convert to fraction form
    152,066/235,481 = 235,481/x
  3. Step 3: Cross multiply
    152,066x = 235,481 × 235,481
  4. Step 4: Simplify right side
    152,066x = 55,451,301,361
  5. Step 5: Solve for x
    x = 55,451,301,361/152,066
  6. Step 6: Final answer
    x = 364,652.86

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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.