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Finding the Third Proportional to 205,224 and 308,430

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Solution

The third proportional to 205,224 and 308,430 is: 463,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,224 : 308,430 = 308,430 : x
  2. Step 2: Convert to fraction form
    205,224/308,430 = 308,430/x
  3. Step 3: Cross multiply
    205,224x = 308,430 × 308,430
  4. Step 4: Simplify right side
    205,224x = 95,129,064,900
  5. Step 5: Solve for x
    x = 95,129,064,900/205,224
  6. Step 6: Final answer
    x = 463,537.72

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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.