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Finding the Third Proportional to 225,684 and 357,021

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Solution

The third proportional to 225,684 and 357,021 is: 564,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,684 : 357,021 = 357,021 : x
  2. Step 2: Convert to fraction form
    225,684/357,021 = 357,021/x
  3. Step 3: Cross multiply
    225,684x = 357,021 × 357,021
  4. Step 4: Simplify right side
    225,684x = 127,463,994,441
  5. Step 5: Solve for x
    x = 127,463,994,441/225,684
  6. Step 6: Final answer
    x = 564,789.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.