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Finding the Third Proportional to 138,363.19 and 288,527.06

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Solution

The third proportional to 138,363.19 and 288,527.06 is: 601,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,363.19 : 288,527.06 = 288,527.06 : x
  2. Step 2: Convert to fraction form
    138,363.19/288,527.06 = 288,527.06/x
  3. Step 3: Cross multiply
    138,363.19x = 288,527.06 × 288,527.06
  4. Step 4: Simplify right side
    138,363.19x = 83,247,865,794.88
  5. Step 5: Solve for x
    x = 83,247,865,794.88/138,363.19
  6. Step 6: Final answer
    x = 601,661.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.