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Finding the Third Proportional to 107,256 and 249,366

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Solution

The third proportional to 107,256 and 249,366 is: 579,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,256 : 249,366 = 249,366 : x
  2. Step 2: Convert to fraction form
    107,256/249,366 = 249,366/x
  3. Step 3: Cross multiply
    107,256x = 249,366 × 249,366
  4. Step 4: Simplify right side
    107,256x = 62,183,401,956
  5. Step 5: Solve for x
    x = 62,183,401,956/107,256
  6. Step 6: Final answer
    x = 579,766.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.