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Finding the Third Proportional to 213,146 and 466,900

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Solution

The third proportional to 213,146 and 466,900 is: 1,022,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,146 : 466,900 = 466,900 : x
  2. Step 2: Convert to fraction form
    213,146/466,900 = 466,900/x
  3. Step 3: Cross multiply
    213,146x = 466,900 × 466,900
  4. Step 4: Simplify right side
    213,146x = 217,995,610,000
  5. Step 5: Solve for x
    x = 217,995,610,000/213,146
  6. Step 6: Final answer
    x = 1,022,752.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.