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Finding the Third Proportional to 136,046.25 and 294,255

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Solution

The third proportional to 136,046.25 and 294,255 is: 636,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,046.25 : 294,255 = 294,255 : x
  2. Step 2: Convert to fraction form
    136,046.25/294,255 = 294,255/x
  3. Step 3: Cross multiply
    136,046.25x = 294,255 × 294,255
  4. Step 4: Simplify right side
    136,046.25x = 86,586,005,025
  5. Step 5: Solve for x
    x = 86,586,005,025/136,046.25
  6. Step 6: Final answer
    x = 636,445.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.