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Finding the Third Proportional to 239,442 and 358,503

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Solution

The third proportional to 239,442 and 358,503 is: 536,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,442 : 358,503 = 358,503 : x
  2. Step 2: Convert to fraction form
    239,442/358,503 = 358,503/x
  3. Step 3: Cross multiply
    239,442x = 358,503 × 358,503
  4. Step 4: Simplify right side
    239,442x = 128,524,401,009
  5. Step 5: Solve for x
    x = 128,524,401,009/239,442
  6. Step 6: Final answer
    x = 536,766.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.