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Finding the Third Proportional to 222,528 and 345,192

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Solution

The third proportional to 222,528 and 345,192 is: 535,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,528 : 345,192 = 345,192 : x
  2. Step 2: Convert to fraction form
    222,528/345,192 = 345,192/x
  3. Step 3: Cross multiply
    222,528x = 345,192 × 345,192
  4. Step 4: Simplify right side
    222,528x = 119,157,516,864
  5. Step 5: Solve for x
    x = 119,157,516,864/222,528
  6. Step 6: Final answer
    x = 535,472.02

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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.