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Finding the Third Proportional to 205,664 and 310,683

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Solution

The third proportional to 205,664 and 310,683 is: 469,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,664 : 310,683 = 310,683 : x
  2. Step 2: Convert to fraction form
    205,664/310,683 = 310,683/x
  3. Step 3: Cross multiply
    205,664x = 310,683 × 310,683
  4. Step 4: Simplify right side
    205,664x = 96,523,926,489
  5. Step 5: Solve for x
    x = 96,523,926,489/205,664
  6. Step 6: Final answer
    x = 469,328.26

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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.