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Finding the Third Proportional to 106,728 and 249,324

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Solution

The third proportional to 106,728 and 249,324 is: 582,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,728 : 249,324 = 249,324 : x
  2. Step 2: Convert to fraction form
    106,728/249,324 = 249,324/x
  3. Step 3: Cross multiply
    106,728x = 249,324 × 249,324
  4. Step 4: Simplify right side
    106,728x = 62,162,456,976
  5. Step 5: Solve for x
    x = 62,162,456,976/106,728
  6. Step 6: Final answer
    x = 582,438.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.