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Finding the Third Proportional to 159,242 and 240,655

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Solution

The third proportional to 159,242 and 240,655 is: 363,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,242 : 240,655 = 240,655 : x
  2. Step 2: Convert to fraction form
    159,242/240,655 = 240,655/x
  3. Step 3: Cross multiply
    159,242x = 240,655 × 240,655
  4. Step 4: Simplify right side
    159,242x = 57,914,829,025
  5. Step 5: Solve for x
    x = 57,914,829,025/159,242
  6. Step 6: Final answer
    x = 363,690.67

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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.