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Finding the Third Proportional to 119,907 and 249,648.75

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Solution

The third proportional to 119,907 and 249,648.75 is: 519,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,907 : 249,648.75 = 249,648.75 : x
  2. Step 2: Convert to fraction form
    119,907/249,648.75 = 249,648.75/x
  3. Step 3: Cross multiply
    119,907x = 249,648.75 × 249,648.75
  4. Step 4: Simplify right side
    119,907x = 62,324,498,376.56
  5. Step 5: Solve for x
    x = 62,324,498,376.56/119,907
  6. Step 6: Final answer
    x = 519,773.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.