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Finding the Third Proportional to 242,333.50 and 532,794.25

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Solution

The third proportional to 242,333.50 and 532,794.25 is: 1,171,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,333.50 : 532,794.25 = 532,794.25 : x
  2. Step 2: Convert to fraction form
    242,333.50/532,794.25 = 532,794.25/x
  3. Step 3: Cross multiply
    242,333.50x = 532,794.25 × 532,794.25
  4. Step 4: Simplify right side
    242,333.50x = 283,869,712,833.06
  5. Step 5: Solve for x
    x = 283,869,712,833.06/242,333.50
  6. Step 6: Final answer
    x = 1,171,401.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.