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Finding the Third Proportional to 152,078.06 and 330,913.13

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Solution

The third proportional to 152,078.06 and 330,913.13 is: 720,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,078.06 : 330,913.13 = 330,913.13 : x
  2. Step 2: Convert to fraction form
    152,078.06/330,913.13 = 330,913.13/x
  3. Step 3: Cross multiply
    152,078.06x = 330,913.13 × 330,913.13
  4. Step 4: Simplify right side
    152,078.06x = 109,503,496,297.27
  5. Step 5: Solve for x
    x = 109,503,496,297.27/152,078.06
  6. Step 6: Final answer
    x = 720,047.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.