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Finding the Third Proportional to 152,813.25 and 334,023.75

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Solution

The third proportional to 152,813.25 and 334,023.75 is: 730,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,813.25 : 334,023.75 = 334,023.75 : x
  2. Step 2: Convert to fraction form
    152,813.25/334,023.75 = 334,023.75/x
  3. Step 3: Cross multiply
    152,813.25x = 334,023.75 × 334,023.75
  4. Step 4: Simplify right side
    152,813.25x = 111,571,865,564.06
  5. Step 5: Solve for x
    x = 111,571,865,564.06/152,813.25
  6. Step 6: Final answer
    x = 730,119.05

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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.