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Finding the Third Proportional to 116,780.06 and 174,560.06

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Solution

The third proportional to 116,780.06 and 174,560.06 is: 260,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,780.06 : 174,560.06 = 174,560.06 : x
  2. Step 2: Convert to fraction form
    116,780.06/174,560.06 = 174,560.06/x
  3. Step 3: Cross multiply
    116,780.06x = 174,560.06 × 174,560.06
  4. Step 4: Simplify right side
    116,780.06x = 30,471,215,420.00
  5. Step 5: Solve for x
    x = 30,471,215,420.00/116,780.06
  6. Step 6: Final answer
    x = 260,928.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.