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Finding the Third Proportional to 200,064 and 306,759

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Solution

The third proportional to 200,064 and 306,759 is: 470,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,064 : 306,759 = 306,759 : x
  2. Step 2: Convert to fraction form
    200,064/306,759 = 306,759/x
  3. Step 3: Cross multiply
    200,064x = 306,759 × 306,759
  4. Step 4: Simplify right side
    200,064x = 94,101,084,081
  5. Step 5: Solve for x
    x = 94,101,084,081/200,064
  6. Step 6: Final answer
    x = 470,354.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.