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Finding the Third Proportional to 115,923.75 and 247,156.50

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Solution

The third proportional to 115,923.75 and 247,156.50 is: 526,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,923.75 : 247,156.50 = 247,156.50 : x
  2. Step 2: Convert to fraction form
    115,923.75/247,156.50 = 247,156.50/x
  3. Step 3: Cross multiply
    115,923.75x = 247,156.50 × 247,156.50
  4. Step 4: Simplify right side
    115,923.75x = 61,086,335,492.25
  5. Step 5: Solve for x
    x = 61,086,335,492.25/115,923.75
  6. Step 6: Final answer
    x = 526,952.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.