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Finding the Third Proportional to 144,202 and 308,330

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Solution

The third proportional to 144,202 and 308,330 is: 659,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,202 : 308,330 = 308,330 : x
  2. Step 2: Convert to fraction form
    144,202/308,330 = 308,330/x
  3. Step 3: Cross multiply
    144,202x = 308,330 × 308,330
  4. Step 4: Simplify right side
    144,202x = 95,067,388,900
  5. Step 5: Solve for x
    x = 95,067,388,900/144,202
  6. Step 6: Final answer
    x = 659,265.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.