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Finding the Third Proportional to 153,854 and 223,992

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Solution

The third proportional to 153,854 and 223,992 is: 326,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,854 : 223,992 = 223,992 : x
  2. Step 2: Convert to fraction form
    153,854/223,992 = 223,992/x
  3. Step 3: Cross multiply
    153,854x = 223,992 × 223,992
  4. Step 4: Simplify right side
    153,854x = 50,172,416,064
  5. Step 5: Solve for x
    x = 50,172,416,064/153,854
  6. Step 6: Final answer
    x = 326,104.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.