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Finding the Third Proportional to 114,566 and 249,462

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Solution

The third proportional to 114,566 and 249,462 is: 543,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,566 : 249,462 = 249,462 : x
  2. Step 2: Convert to fraction form
    114,566/249,462 = 249,462/x
  3. Step 3: Cross multiply
    114,566x = 249,462 × 249,462
  4. Step 4: Simplify right side
    114,566x = 62,231,289,444
  5. Step 5: Solve for x
    x = 62,231,289,444/114,566
  6. Step 6: Final answer
    x = 543,191.61

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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.