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Finding the Third Proportional to 122,608.69 and 296,475.19

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Solution

The third proportional to 122,608.69 and 296,475.19 is: 716,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,608.69 : 296,475.19 = 296,475.19 : x
  2. Step 2: Convert to fraction form
    122,608.69/296,475.19 = 296,475.19/x
  3. Step 3: Cross multiply
    122,608.69x = 296,475.19 × 296,475.19
  4. Step 4: Simplify right side
    122,608.69x = 87,897,536,803.16
  5. Step 5: Solve for x
    x = 87,897,536,803.16/122,608.69
  6. Step 6: Final answer
    x = 716,894.85

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.