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Finding the Third Proportional to 146,064 and 318,432

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Solution

The third proportional to 146,064 and 318,432 is: 694,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,064 : 318,432 = 318,432 : x
  2. Step 2: Convert to fraction form
    146,064/318,432 = 318,432/x
  3. Step 3: Cross multiply
    146,064x = 318,432 × 318,432
  4. Step 4: Simplify right side
    146,064x = 101,398,938,624
  5. Step 5: Solve for x
    x = 101,398,938,624/146,064
  6. Step 6: Final answer
    x = 694,208.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.