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Finding the Third Proportional to 243,193 and 388,507

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Solution

The third proportional to 243,193 and 388,507 is: 620,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,193 : 388,507 = 388,507 : x
  2. Step 2: Convert to fraction form
    243,193/388,507 = 388,507/x
  3. Step 3: Cross multiply
    243,193x = 388,507 × 388,507
  4. Step 4: Simplify right side
    243,193x = 150,937,689,049
  5. Step 5: Solve for x
    x = 150,937,689,049/243,193
  6. Step 6: Final answer
    x = 620,649.81

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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.