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Finding the Third Proportional to 114,993 and 247,473

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Solution

The third proportional to 114,993 and 247,473 is: 532,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,993 : 247,473 = 247,473 : x
  2. Step 2: Convert to fraction form
    114,993/247,473 = 247,473/x
  3. Step 3: Cross multiply
    114,993x = 247,473 × 247,473
  4. Step 4: Simplify right side
    114,993x = 61,242,885,729
  5. Step 5: Solve for x
    x = 61,242,885,729/114,993
  6. Step 6: Final answer
    x = 532,579.25

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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.