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Finding the Third Proportional to 152,808.75 and 334,014.75

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Solution

The third proportional to 152,808.75 and 334,014.75 is: 730,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,808.75 : 334,014.75 = 334,014.75 : x
  2. Step 2: Convert to fraction form
    152,808.75/334,014.75 = 334,014.75/x
  3. Step 3: Cross multiply
    152,808.75x = 334,014.75 × 334,014.75
  4. Step 4: Simplify right side
    152,808.75x = 111,565,853,217.56
  5. Step 5: Solve for x
    x = 111,565,853,217.56/152,808.75
  6. Step 6: Final answer
    x = 730,101.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.