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Finding the Third Proportional to 155,474 and 240,082

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Solution

The third proportional to 155,474 and 240,082 is: 370,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,474 : 240,082 = 240,082 : x
  2. Step 2: Convert to fraction form
    155,474/240,082 = 240,082/x
  3. Step 3: Cross multiply
    155,474x = 240,082 × 240,082
  4. Step 4: Simplify right side
    155,474x = 57,639,366,724
  5. Step 5: Solve for x
    x = 57,639,366,724/155,474
  6. Step 6: Final answer
    x = 370,733.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.