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Finding the Third Proportional to 136,737 and 293,913

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Solution

The third proportional to 136,737 and 293,913 is: 631,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,737 : 293,913 = 293,913 : x
  2. Step 2: Convert to fraction form
    136,737/293,913 = 293,913/x
  3. Step 3: Cross multiply
    136,737x = 293,913 × 293,913
  4. Step 4: Simplify right side
    136,737x = 86,384,851,569
  5. Step 5: Solve for x
    x = 86,384,851,569/136,737
  6. Step 6: Final answer
    x = 631,759.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.