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Finding the Third Proportional to 151,451 and 235,166

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Solution

The third proportional to 151,451 and 235,166 is: 365,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,451 : 235,166 = 235,166 : x
  2. Step 2: Convert to fraction form
    151,451/235,166 = 235,166/x
  3. Step 3: Cross multiply
    151,451x = 235,166 × 235,166
  4. Step 4: Simplify right side
    151,451x = 55,303,047,556
  5. Step 5: Solve for x
    x = 55,303,047,556/151,451
  6. Step 6: Final answer
    x = 365,154.72

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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.