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Finding the Third Proportional to 116,667 and 249,912

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Solution

The third proportional to 116,667 and 249,912 is: 535,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,667 : 249,912 = 249,912 : x
  2. Step 2: Convert to fraction form
    116,667/249,912 = 249,912/x
  3. Step 3: Cross multiply
    116,667x = 249,912 × 249,912
  4. Step 4: Simplify right side
    116,667x = 62,456,007,744
  5. Step 5: Solve for x
    x = 62,456,007,744/116,667
  6. Step 6: Final answer
    x = 535,335.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.