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Finding the Third Proportional to 243,214 and 388,534

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Solution

The third proportional to 243,214 and 388,534 is: 620,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,214 : 388,534 = 388,534 : x
  2. Step 2: Convert to fraction form
    243,214/388,534 = 388,534/x
  3. Step 3: Cross multiply
    243,214x = 388,534 × 388,534
  4. Step 4: Simplify right side
    243,214x = 150,958,669,156
  5. Step 5: Solve for x
    x = 150,958,669,156/243,214
  6. Step 6: Final answer
    x = 620,682.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.