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Finding the Third Proportional to 114,306 and 250,698

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Solution

The third proportional to 114,306 and 250,698 is: 549,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,306 : 250,698 = 250,698 : x
  2. Step 2: Convert to fraction form
    114,306/250,698 = 250,698/x
  3. Step 3: Cross multiply
    114,306x = 250,698 × 250,698
  4. Step 4: Simplify right side
    114,306x = 62,849,487,204
  5. Step 5: Solve for x
    x = 62,849,487,204/114,306
  6. Step 6: Final answer
    x = 549,835.42

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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.