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Finding the Third Proportional to 161,953 and 348,510

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Solution

The third proportional to 161,953 and 348,510 is: 749,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,953 : 348,510 = 348,510 : x
  2. Step 2: Convert to fraction form
    161,953/348,510 = 348,510/x
  3. Step 3: Cross multiply
    161,953x = 348,510 × 348,510
  4. Step 4: Simplify right side
    161,953x = 121,459,220,100
  5. Step 5: Solve for x
    x = 121,459,220,100/161,953
  6. Step 6: Final answer
    x = 749,965.85

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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.