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Finding the Third Proportional to 152,259.75 and 330,469.88

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Solution

The third proportional to 152,259.75 and 330,469.88 is: 717,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,259.75 : 330,469.88 = 330,469.88 : x
  2. Step 2: Convert to fraction form
    152,259.75/330,469.88 = 330,469.88/x
  3. Step 3: Cross multiply
    152,259.75x = 330,469.88 × 330,469.88
  4. Step 4: Simplify right side
    152,259.75x = 109,210,338,282.52
  5. Step 5: Solve for x
    x = 109,210,338,282.52/152,259.75
  6. Step 6: Final answer
    x = 717,263.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.