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Finding the Third Proportional to 114,775 and 249,880

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Solution

The third proportional to 114,775 and 249,880 is: 544,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,775 : 249,880 = 249,880 : x
  2. Step 2: Convert to fraction form
    114,775/249,880 = 249,880/x
  3. Step 3: Cross multiply
    114,775x = 249,880 × 249,880
  4. Step 4: Simplify right side
    114,775x = 62,440,014,400
  5. Step 5: Solve for x
    x = 62,440,014,400/114,775
  6. Step 6: Final answer
    x = 544,021.04

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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.