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Finding the Third Proportional to 115,698.38 and 174,780.28

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Solution

The third proportional to 115,698.38 and 174,780.28 is: 264,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,698.38 : 174,780.28 = 174,780.28 : x
  2. Step 2: Convert to fraction form
    115,698.38/174,780.28 = 174,780.28/x
  3. Step 3: Cross multiply
    115,698.38x = 174,780.28 × 174,780.28
  4. Step 4: Simplify right side
    115,698.38x = 30,548,146,713.83
  5. Step 5: Solve for x
    x = 30,548,146,713.83/115,698.38
  6. Step 6: Final answer
    x = 264,032.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.