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Finding the Third Proportional to 136,233.65 and 294,264.69

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Solution

The third proportional to 136,233.65 and 294,264.69 is: 635,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,233.65 : 294,264.69 = 294,264.69 : x
  2. Step 2: Convert to fraction form
    136,233.65/294,264.69 = 294,264.69/x
  3. Step 3: Cross multiply
    136,233.65x = 294,264.69 × 294,264.69
  4. Step 4: Simplify right side
    136,233.65x = 86,591,710,332.62
  5. Step 5: Solve for x
    x = 86,591,710,332.62/136,233.65
  6. Step 6: Final answer
    x = 635,611.74

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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.