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Finding the Third Proportional to 99,324 and 234,292.50

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Solution

The third proportional to 99,324 and 234,292.50 is: 552,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,324 : 234,292.50 = 234,292.50 : x
  2. Step 2: Convert to fraction form
    99,324/234,292.50 = 234,292.50/x
  3. Step 3: Cross multiply
    99,324x = 234,292.50 × 234,292.50
  4. Step 4: Simplify right side
    99,324x = 54,892,975,556.25
  5. Step 5: Solve for x
    x = 54,892,975,556.25/99,324
  6. Step 6: Final answer
    x = 552,665.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.