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Finding the Third Proportional to 192,064 and 290,746

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Solution

The third proportional to 192,064 and 290,746 is: 440,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,064 : 290,746 = 290,746 : x
  2. Step 2: Convert to fraction form
    192,064/290,746 = 290,746/x
  3. Step 3: Cross multiply
    192,064x = 290,746 × 290,746
  4. Step 4: Simplify right side
    192,064x = 84,533,236,516
  5. Step 5: Solve for x
    x = 84,533,236,516/192,064
  6. Step 6: Final answer
    x = 440,130.56

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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.