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Finding the Third Proportional to 114,995 and 247,477

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Solution

The third proportional to 114,995 and 247,477 is: 532,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,995 : 247,477 = 247,477 : x
  2. Step 2: Convert to fraction form
    114,995/247,477 = 247,477/x
  3. Step 3: Cross multiply
    114,995x = 247,477 × 247,477
  4. Step 4: Simplify right side
    114,995x = 61,244,865,529
  5. Step 5: Solve for x
    x = 61,244,865,529/114,995
  6. Step 6: Final answer
    x = 532,587.20

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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.