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Finding the Third Proportional to 213,367.50 and 466,101

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Solution

The third proportional to 213,367.50 and 466,101 is: 1,018,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,367.50 : 466,101 = 466,101 : x
  2. Step 2: Convert to fraction form
    213,367.50/466,101 = 466,101/x
  3. Step 3: Cross multiply
    213,367.50x = 466,101 × 466,101
  4. Step 4: Simplify right side
    213,367.50x = 217,250,142,201
  5. Step 5: Solve for x
    x = 217,250,142,201/213,367.50
  6. Step 6: Final answer
    x = 1,018,196.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.