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Finding the Third Proportional to 159,277 and 240,146

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Solution

The third proportional to 159,277 and 240,146 is: 362,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,277 : 240,146 = 240,146 : x
  2. Step 2: Convert to fraction form
    159,277/240,146 = 240,146/x
  3. Step 3: Cross multiply
    159,277x = 240,146 × 240,146
  4. Step 4: Simplify right side
    159,277x = 57,670,101,316
  5. Step 5: Solve for x
    x = 57,670,101,316/159,277
  6. Step 6: Final answer
    x = 362,074.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.