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Finding the Third Proportional to 136,626.75 and 288,106.88

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Solution

The third proportional to 136,626.75 and 288,106.88 is: 607,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,626.75 : 288,106.88 = 288,106.88 : x
  2. Step 2: Convert to fraction form
    136,626.75/288,106.88 = 288,106.88/x
  3. Step 3: Cross multiply
    136,626.75x = 288,106.88 × 288,106.88
  4. Step 4: Simplify right side
    136,626.75x = 83,005,571,422.27
  5. Step 5: Solve for x
    x = 83,005,571,422.27/136,626.75
  6. Step 6: Final answer
    x = 607,535.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.