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Finding the Third Proportional to 161,262 and 350,508

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Solution

The third proportional to 161,262 and 350,508 is: 761,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,262 : 350,508 = 350,508 : x
  2. Step 2: Convert to fraction form
    161,262/350,508 = 350,508/x
  3. Step 3: Cross multiply
    161,262x = 350,508 × 350,508
  4. Step 4: Simplify right side
    161,262x = 122,855,858,064
  5. Step 5: Solve for x
    x = 122,855,858,064/161,262
  6. Step 6: Final answer
    x = 761,840.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.