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Finding the Third Proportional to 222,632 and 344,784

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Solution

The third proportional to 222,632 and 344,784 is: 533,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,632 : 344,784 = 344,784 : x
  2. Step 2: Convert to fraction form
    222,632/344,784 = 344,784/x
  3. Step 3: Cross multiply
    222,632x = 344,784 × 344,784
  4. Step 4: Simplify right side
    222,632x = 118,876,006,656
  5. Step 5: Solve for x
    x = 118,876,006,656/222,632
  6. Step 6: Final answer
    x = 533,957.41

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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.