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Finding the Third Proportional to 213,114 and 318,213

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Solution

The third proportional to 213,114 and 318,213 is: 475,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,114 : 318,213 = 318,213 : x
  2. Step 2: Convert to fraction form
    213,114/318,213 = 318,213/x
  3. Step 3: Cross multiply
    213,114x = 318,213 × 318,213
  4. Step 4: Simplify right side
    213,114x = 101,259,513,369
  5. Step 5: Solve for x
    x = 101,259,513,369/213,114
  6. Step 6: Final answer
    x = 475,142.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.