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Finding the Third Proportional to 116,650.13 and 177,283.13

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Solution

The third proportional to 116,650.13 and 177,283.13 is: 269,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,650.13 : 177,283.13 = 177,283.13 : x
  2. Step 2: Convert to fraction form
    116,650.13/177,283.13 = 177,283.13/x
  3. Step 3: Cross multiply
    116,650.13x = 177,283.13 × 177,283.13
  4. Step 4: Simplify right side
    116,650.13x = 31,429,306,409.77
  5. Step 5: Solve for x
    x = 31,429,306,409.77/116,650.13
  6. Step 6: Final answer
    x = 269,432.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.