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Finding the Third Proportional to 197,932.50 and 466,774.88

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Solution

The third proportional to 197,932.50 and 466,774.88 is: 1,100,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,932.50 : 466,774.88 = 466,774.88 : x
  2. Step 2: Convert to fraction form
    197,932.50/466,774.88 = 466,774.88/x
  3. Step 3: Cross multiply
    197,932.50x = 466,774.88 × 466,774.88
  4. Step 4: Simplify right side
    197,932.50x = 217,878,783,931.27
  5. Step 5: Solve for x
    x = 217,878,783,931.27/197,932.50
  6. Step 6: Final answer
    x = 1,100,773.16

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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.