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Finding the Third Proportional to 114,288 and 250,724

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Solution

The third proportional to 114,288 and 250,724 is: 550,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,288 : 250,724 = 250,724 : x
  2. Step 2: Convert to fraction form
    114,288/250,724 = 250,724/x
  3. Step 3: Cross multiply
    114,288x = 250,724 × 250,724
  4. Step 4: Simplify right side
    114,288x = 62,862,524,176
  5. Step 5: Solve for x
    x = 62,862,524,176/114,288
  6. Step 6: Final answer
    x = 550,036.09

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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.