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Finding the Third Proportional to 114,743 and 249,900

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Solution

The third proportional to 114,743 and 249,900 is: 544,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,743 : 249,900 = 249,900 : x
  2. Step 2: Convert to fraction form
    114,743/249,900 = 249,900/x
  3. Step 3: Cross multiply
    114,743x = 249,900 × 249,900
  4. Step 4: Simplify right side
    114,743x = 62,450,010,000
  5. Step 5: Solve for x
    x = 62,450,010,000/114,743
  6. Step 6: Final answer
    x = 544,259.87

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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.