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Finding the Third Proportional to 159,282 and 348,102

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Solution

The third proportional to 159,282 and 348,102 is: 760,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,282 : 348,102 = 348,102 : x
  2. Step 2: Convert to fraction form
    159,282/348,102 = 348,102/x
  3. Step 3: Cross multiply
    159,282x = 348,102 × 348,102
  4. Step 4: Simplify right side
    159,282x = 121,175,002,404
  5. Step 5: Solve for x
    x = 121,175,002,404/159,282
  6. Step 6: Final answer
    x = 760,757.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.