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Finding the Third Proportional to 115,184.53 and 171,888.33

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Solution

The third proportional to 115,184.53 and 171,888.33 is: 256,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,184.53 : 171,888.33 = 171,888.33 : x
  2. Step 2: Convert to fraction form
    115,184.53/171,888.33 = 171,888.33/x
  3. Step 3: Cross multiply
    115,184.53x = 171,888.33 × 171,888.33
  4. Step 4: Simplify right side
    115,184.53x = 29,545,597,345.61
  5. Step 5: Solve for x
    x = 29,545,597,345.61/115,184.53
  6. Step 6: Final answer
    x = 256,506.64

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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.