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Finding the Third Proportional to 113,860.50 and 247,407

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Solution

The third proportional to 113,860.50 and 247,407 is: 537,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,860.50 : 247,407 = 247,407 : x
  2. Step 2: Convert to fraction form
    113,860.50/247,407 = 247,407/x
  3. Step 3: Cross multiply
    113,860.50x = 247,407 × 247,407
  4. Step 4: Simplify right side
    113,860.50x = 61,210,223,649
  5. Step 5: Solve for x
    x = 61,210,223,649/113,860.50
  6. Step 6: Final answer
    x = 537,589.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.