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Finding the Third Proportional to 142,306 and 300,285

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Solution

The third proportional to 142,306 and 300,285 is: 633,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,306 : 300,285 = 300,285 : x
  2. Step 2: Convert to fraction form
    142,306/300,285 = 300,285/x
  3. Step 3: Cross multiply
    142,306x = 300,285 × 300,285
  4. Step 4: Simplify right side
    142,306x = 90,171,081,225
  5. Step 5: Solve for x
    x = 90,171,081,225/142,306
  6. Step 6: Final answer
    x = 633,642.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.