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Finding the Third Proportional to 152,239.50 and 330,414.19

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Solution

The third proportional to 152,239.50 and 330,414.19 is: 717,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,239.50 : 330,414.19 = 330,414.19 : x
  2. Step 2: Convert to fraction form
    152,239.50/330,414.19 = 330,414.19/x
  3. Step 3: Cross multiply
    152,239.50x = 330,414.19 × 330,414.19
  4. Step 4: Simplify right side
    152,239.50x = 109,173,535,301.29
  5. Step 5: Solve for x
    x = 109,173,535,301.29/152,239.50
  6. Step 6: Final answer
    x = 717,117.01

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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.