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Finding the Third Proportional to 114,945 and 250,582

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Solution

The third proportional to 114,945 and 250,582 is: 546,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,945 : 250,582 = 250,582 : x
  2. Step 2: Convert to fraction form
    114,945/250,582 = 250,582/x
  3. Step 3: Cross multiply
    114,945x = 250,582 × 250,582
  4. Step 4: Simplify right side
    114,945x = 62,791,338,724
  5. Step 5: Solve for x
    x = 62,791,338,724/114,945
  6. Step 6: Final answer
    x = 546,272.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.