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Finding the Third Proportional to 223,742 and 325,046

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Solution

The third proportional to 223,742 and 325,046 is: 472,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,742 : 325,046 = 325,046 : x
  2. Step 2: Convert to fraction form
    223,742/325,046 = 325,046/x
  3. Step 3: Cross multiply
    223,742x = 325,046 × 325,046
  4. Step 4: Simplify right side
    223,742x = 105,654,902,116
  5. Step 5: Solve for x
    x = 105,654,902,116/223,742
  6. Step 6: Final answer
    x = 472,217.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.