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Finding the Third Proportional to 114,680 and 243,292

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Solution

The third proportional to 114,680 and 243,292 is: 516,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,680 : 243,292 = 243,292 : x
  2. Step 2: Convert to fraction form
    114,680/243,292 = 243,292/x
  3. Step 3: Cross multiply
    114,680x = 243,292 × 243,292
  4. Step 4: Simplify right side
    114,680x = 59,190,997,264
  5. Step 5: Solve for x
    x = 59,190,997,264/114,680
  6. Step 6: Final answer
    x = 516,140.54

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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.