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Finding the Third Proportional to 204,762 and 310,008

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Solution

The third proportional to 204,762 and 310,008 is: 469,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,762 : 310,008 = 310,008 : x
  2. Step 2: Convert to fraction form
    204,762/310,008 = 310,008/x
  3. Step 3: Cross multiply
    204,762x = 310,008 × 310,008
  4. Step 4: Simplify right side
    204,762x = 96,104,960,064
  5. Step 5: Solve for x
    x = 96,104,960,064/204,762
  6. Step 6: Final answer
    x = 469,349.59

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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.