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Finding the Third Proportional to 114,315 and 250,764

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Solution

The third proportional to 114,315 and 250,764 is: 550,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,315 : 250,764 = 250,764 : x
  2. Step 2: Convert to fraction form
    114,315/250,764 = 250,764/x
  3. Step 3: Cross multiply
    114,315x = 250,764 × 250,764
  4. Step 4: Simplify right side
    114,315x = 62,882,583,696
  5. Step 5: Solve for x
    x = 62,882,583,696/114,315
  6. Step 6: Final answer
    x = 550,081.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.