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Finding the Third Proportional to 114,985 and 247,456

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Solution

The third proportional to 114,985 and 247,456 is: 532,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,985 : 247,456 = 247,456 : x
  2. Step 2: Convert to fraction form
    114,985/247,456 = 247,456/x
  3. Step 3: Cross multiply
    114,985x = 247,456 × 247,456
  4. Step 4: Simplify right side
    114,985x = 61,234,471,936
  5. Step 5: Solve for x
    x = 61,234,471,936/114,985
  6. Step 6: Final answer
    x = 532,543.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.