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Finding the Third Proportional to 205,066 and 310,332

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Solution

The third proportional to 205,066 and 310,332 is: 469,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,066 : 310,332 = 310,332 : x
  2. Step 2: Convert to fraction form
    205,066/310,332 = 310,332/x
  3. Step 3: Cross multiply
    205,066x = 310,332 × 310,332
  4. Step 4: Simplify right side
    205,066x = 96,305,950,224
  5. Step 5: Solve for x
    x = 96,305,950,224/205,066
  6. Step 6: Final answer
    x = 469,633.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.