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Finding the Third Proportional to 222,584 and 344,871

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Solution

The third proportional to 222,584 and 344,871 is: 534,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,584 : 344,871 = 344,871 : x
  2. Step 2: Convert to fraction form
    222,584/344,871 = 344,871/x
  3. Step 3: Cross multiply
    222,584x = 344,871 × 344,871
  4. Step 4: Simplify right side
    222,584x = 118,936,006,641
  5. Step 5: Solve for x
    x = 118,936,006,641/222,584
  6. Step 6: Final answer
    x = 534,342.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.