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Finding the Third Proportional to 200,810 and 301,224

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Solution

The third proportional to 200,810 and 301,224 is: 451,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,810 : 301,224 = 301,224 : x
  2. Step 2: Convert to fraction form
    200,810/301,224 = 301,224/x
  3. Step 3: Cross multiply
    200,810x = 301,224 × 301,224
  4. Step 4: Simplify right side
    200,810x = 90,735,898,176
  5. Step 5: Solve for x
    x = 90,735,898,176/200,810
  6. Step 6: Final answer
    x = 451,849.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.