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Finding the Third Proportional to 161,959 and 348,522

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Solution

The third proportional to 161,959 and 348,522 is: 749,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,959 : 348,522 = 348,522 : x
  2. Step 2: Convert to fraction form
    161,959/348,522 = 348,522/x
  3. Step 3: Cross multiply
    161,959x = 348,522 × 348,522
  4. Step 4: Simplify right side
    161,959x = 121,467,584,484
  5. Step 5: Solve for x
    x = 121,467,584,484/161,959
  6. Step 6: Final answer
    x = 749,989.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.