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Finding the Third Proportional to 197,938.50 and 466,788

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Solution

The third proportional to 197,938.50 and 466,788 is: 1,100,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,938.50 : 466,788 = 466,788 : x
  2. Step 2: Convert to fraction form
    197,938.50/466,788 = 466,788/x
  3. Step 3: Cross multiply
    197,938.50x = 466,788 × 466,788
  4. Step 4: Simplify right side
    197,938.50x = 217,891,036,944
  5. Step 5: Solve for x
    x = 217,891,036,944/197,938.50
  6. Step 6: Final answer
    x = 1,100,801.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.