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Finding the Third Proportional to 197,446.78 and 385,052.06

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Solution

The third proportional to 197,446.78 and 385,052.06 is: 750,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,446.78 : 385,052.06 = 385,052.06 : x
  2. Step 2: Convert to fraction form
    197,446.78/385,052.06 = 385,052.06/x
  3. Step 3: Cross multiply
    197,446.78x = 385,052.06 × 385,052.06
  4. Step 4: Simplify right side
    197,446.78x = 148,265,090,835.50
  5. Step 5: Solve for x
    x = 148,265,090,835.50/197,446.78
  6. Step 6: Final answer
    x = 750,911.66

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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.