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Finding the Third Proportional to 209,269 and 332,585.75

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Solution

The third proportional to 209,269 and 332,585.75 is: 528,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,269 : 332,585.75 = 332,585.75 : x
  2. Step 2: Convert to fraction form
    209,269/332,585.75 = 332,585.75/x
  3. Step 3: Cross multiply
    209,269x = 332,585.75 × 332,585.75
  4. Step 4: Simplify right side
    209,269x = 110,613,281,103.06
  5. Step 5: Solve for x
    x = 110,613,281,103.06/209,269
  6. Step 6: Final answer
    x = 528,569.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.