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Finding the Third Proportional to 116,023.50 and 245,774.25

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Solution

The third proportional to 116,023.50 and 245,774.25 is: 520,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,023.50 : 245,774.25 = 245,774.25 : x
  2. Step 2: Convert to fraction form
    116,023.50/245,774.25 = 245,774.25/x
  3. Step 3: Cross multiply
    116,023.50x = 245,774.25 × 245,774.25
  4. Step 4: Simplify right side
    116,023.50x = 60,404,981,963.06
  5. Step 5: Solve for x
    x = 60,404,981,963.06/116,023.50
  6. Step 6: Final answer
    x = 520,627.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.