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Finding the Third Proportional to 107,252 and 249,356

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Solution

The third proportional to 107,252 and 249,356 is: 579,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,252 : 249,356 = 249,356 : x
  2. Step 2: Convert to fraction form
    107,252/249,356 = 249,356/x
  3. Step 3: Cross multiply
    107,252x = 249,356 × 249,356
  4. Step 4: Simplify right side
    107,252x = 62,178,414,736
  5. Step 5: Solve for x
    x = 62,178,414,736/107,252
  6. Step 6: Final answer
    x = 579,741.31

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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.