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Finding the Third Proportional to 114,895 and 243,038

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Solution

The third proportional to 114,895 and 243,038 is: 514,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,895 : 243,038 = 243,038 : x
  2. Step 2: Convert to fraction form
    114,895/243,038 = 243,038/x
  3. Step 3: Cross multiply
    114,895x = 243,038 × 243,038
  4. Step 4: Simplify right side
    114,895x = 59,067,469,444
  5. Step 5: Solve for x
    x = 59,067,469,444/114,895
  6. Step 6: Final answer
    x = 514,099.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.