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Finding the Third Proportional to 234,018 and 347,584

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Solution

The third proportional to 234,018 and 347,584 is: 516,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,018 : 347,584 = 347,584 : x
  2. Step 2: Convert to fraction form
    234,018/347,584 = 347,584/x
  3. Step 3: Cross multiply
    234,018x = 347,584 × 347,584
  4. Step 4: Simplify right side
    234,018x = 120,814,637,056
  5. Step 5: Solve for x
    x = 120,814,637,056/234,018
  6. Step 6: Final answer
    x = 516,262.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.