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Finding the Third Proportional to 225,160 and 345,228

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Solution

The third proportional to 225,160 and 345,228 is: 529,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,160 : 345,228 = 345,228 : x
  2. Step 2: Convert to fraction form
    225,160/345,228 = 345,228/x
  3. Step 3: Cross multiply
    225,160x = 345,228 × 345,228
  4. Step 4: Simplify right side
    225,160x = 119,182,371,984
  5. Step 5: Solve for x
    x = 119,182,371,984/225,160
  6. Step 6: Final answer
    x = 529,323.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.