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Finding the Third Proportional to 175,488.75 and 269,570.25

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Solution

The third proportional to 175,488.75 and 269,570.25 is: 414,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,488.75 : 269,570.25 = 269,570.25 : x
  2. Step 2: Convert to fraction form
    175,488.75/269,570.25 = 269,570.25/x
  3. Step 3: Cross multiply
    175,488.75x = 269,570.25 × 269,570.25
  4. Step 4: Simplify right side
    175,488.75x = 72,668,119,685.06
  5. Step 5: Solve for x
    x = 72,668,119,685.06/175,488.75
  6. Step 6: Final answer
    x = 414,089.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.