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Finding the Third Proportional to 160,064 and 257,832

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Solution

The third proportional to 160,064 and 257,832 is: 415,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,064 : 257,832 = 257,832 : x
  2. Step 2: Convert to fraction form
    160,064/257,832 = 257,832/x
  3. Step 3: Cross multiply
    160,064x = 257,832 × 257,832
  4. Step 4: Simplify right side
    160,064x = 66,477,340,224
  5. Step 5: Solve for x
    x = 66,477,340,224/160,064
  6. Step 6: Final answer
    x = 415,317.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.