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Finding the Third Proportional to 114,417 and 247,896

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Solution

The third proportional to 114,417 and 247,896 is: 537,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,417 : 247,896 = 247,896 : x
  2. Step 2: Convert to fraction form
    114,417/247,896 = 247,896/x
  3. Step 3: Cross multiply
    114,417x = 247,896 × 247,896
  4. Step 4: Simplify right side
    114,417x = 61,452,426,816
  5. Step 5: Solve for x
    x = 61,452,426,816/114,417
  6. Step 6: Final answer
    x = 537,091.75

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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.