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Finding the Third Proportional to 114,890 and 243,028

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Solution

The third proportional to 114,890 and 243,028 is: 514,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,890 : 243,028 = 243,028 : x
  2. Step 2: Convert to fraction form
    114,890/243,028 = 243,028/x
  3. Step 3: Cross multiply
    114,890x = 243,028 × 243,028
  4. Step 4: Simplify right side
    114,890x = 59,062,608,784
  5. Step 5: Solve for x
    x = 59,062,608,784/114,890
  6. Step 6: Final answer
    x = 514,079.63

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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.