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Finding the Third Proportional to 159,535 and 348,049

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Solution

The third proportional to 159,535 and 348,049 is: 759,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,535 : 348,049 = 348,049 : x
  2. Step 2: Convert to fraction form
    159,535/348,049 = 348,049/x
  3. Step 3: Cross multiply
    159,535x = 348,049 × 348,049
  4. Step 4: Simplify right side
    159,535x = 121,138,106,401
  5. Step 5: Solve for x
    x = 121,138,106,401/159,535
  6. Step 6: Final answer
    x = 759,319.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.