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Finding the Third Proportional to 114,288 and 255,072

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Solution

The third proportional to 114,288 and 255,072 is: 569,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,288 : 255,072 = 255,072 : x
  2. Step 2: Convert to fraction form
    114,288/255,072 = 255,072/x
  3. Step 3: Cross multiply
    114,288x = 255,072 × 255,072
  4. Step 4: Simplify right side
    114,288x = 65,061,725,184
  5. Step 5: Solve for x
    x = 65,061,725,184/114,288
  6. Step 6: Final answer
    x = 569,278.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.