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Finding the Third Proportional to 114,295 and 250,730

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Solution

The third proportional to 114,295 and 250,730 is: 550,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,295 : 250,730 = 250,730 : x
  2. Step 2: Convert to fraction form
    114,295/250,730 = 250,730/x
  3. Step 3: Cross multiply
    114,295x = 250,730 × 250,730
  4. Step 4: Simplify right side
    114,295x = 62,865,532,900
  5. Step 5: Solve for x
    x = 62,865,532,900/114,295
  6. Step 6: Final answer
    x = 550,028.72

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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.