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Finding the Third Proportional to 174,333.13 and 269,389

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Solution

The third proportional to 174,333.13 and 269,389 is: 416,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,333.13 : 269,389 = 269,389 : x
  2. Step 2: Convert to fraction form
    174,333.13/269,389 = 269,389/x
  3. Step 3: Cross multiply
    174,333.13x = 269,389 × 269,389
  4. Step 4: Simplify right side
    174,333.13x = 72,570,433,321
  5. Step 5: Solve for x
    x = 72,570,433,321/174,333.13
  6. Step 6: Final answer
    x = 416,274.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.