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Finding the Third Proportional to 165,341 and 223,403

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Solution

The third proportional to 165,341 and 223,403 is: 301,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,341 : 223,403 = 223,403 : x
  2. Step 2: Convert to fraction form
    165,341/223,403 = 223,403/x
  3. Step 3: Cross multiply
    165,341x = 223,403 × 223,403
  4. Step 4: Simplify right side
    165,341x = 49,908,900,409
  5. Step 5: Solve for x
    x = 49,908,900,409/165,341
  6. Step 6: Final answer
    x = 301,854.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.