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Finding the Third Proportional to 159,527 and 348,031

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Solution

The third proportional to 159,527 and 348,031 is: 759,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,527 : 348,031 = 348,031 : x
  2. Step 2: Convert to fraction form
    159,527/348,031 = 348,031/x
  3. Step 3: Cross multiply
    159,527x = 348,031 × 348,031
  4. Step 4: Simplify right side
    159,527x = 121,125,576,961
  5. Step 5: Solve for x
    x = 121,125,576,961/159,527
  6. Step 6: Final answer
    x = 759,279.48

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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.