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Finding the Third Proportional to 192,656 and 307,664

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Solution

The third proportional to 192,656 and 307,664 is: 491,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,656 : 307,664 = 307,664 : x
  2. Step 2: Convert to fraction form
    192,656/307,664 = 307,664/x
  3. Step 3: Cross multiply
    192,656x = 307,664 × 307,664
  4. Step 4: Simplify right side
    192,656x = 94,657,136,896
  5. Step 5: Solve for x
    x = 94,657,136,896/192,656
  6. Step 6: Final answer
    x = 491,327.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.