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Finding the Third Proportional to 136,005.50 and 296,207.50

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Solution

The third proportional to 136,005.50 and 296,207.50 is: 645,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,005.50 : 296,207.50 = 296,207.50 : x
  2. Step 2: Convert to fraction form
    136,005.50/296,207.50 = 296,207.50/x
  3. Step 3: Cross multiply
    136,005.50x = 296,207.50 × 296,207.50
  4. Step 4: Simplify right side
    136,005.50x = 87,738,883,056.25
  5. Step 5: Solve for x
    x = 87,738,883,056.25/136,005.50
  6. Step 6: Final answer
    x = 645,112.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.