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Finding the Third Proportional to 197,447.34 and 385,053.19

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Solution

The third proportional to 197,447.34 and 385,053.19 is: 750,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,447.34 : 385,053.19 = 385,053.19 : x
  2. Step 2: Convert to fraction form
    197,447.34/385,053.19 = 385,053.19/x
  3. Step 3: Cross multiply
    197,447.34x = 385,053.19 × 385,053.19
  4. Step 4: Simplify right side
    197,447.34x = 148,265,957,203.91
  5. Step 5: Solve for x
    x = 148,265,957,203.91/197,447.34
  6. Step 6: Final answer
    x = 750,913.91

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.