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Finding the Third Proportional to 150,964 and 308,482

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Solution

The third proportional to 150,964 and 308,482 is: 630,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,964 : 308,482 = 308,482 : x
  2. Step 2: Convert to fraction form
    150,964/308,482 = 308,482/x
  3. Step 3: Cross multiply
    150,964x = 308,482 × 308,482
  4. Step 4: Simplify right side
    150,964x = 95,161,144,324
  5. Step 5: Solve for x
    x = 95,161,144,324/150,964
  6. Step 6: Final answer
    x = 630,356.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.