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Finding the Third Proportional to 244,900 and 378,270

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Solution

The third proportional to 244,900 and 378,270 is: 584,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,900 : 378,270 = 378,270 : x
  2. Step 2: Convert to fraction form
    244,900/378,270 = 378,270/x
  3. Step 3: Cross multiply
    244,900x = 378,270 × 378,270
  4. Step 4: Simplify right side
    244,900x = 143,088,192,900
  5. Step 5: Solve for x
    x = 143,088,192,900/244,900
  6. Step 6: Final answer
    x = 584,271.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.