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Finding the Third Proportional to 164,058 and 234,600

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Solution

The third proportional to 164,058 and 234,600 is: 335,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,058 : 234,600 = 234,600 : x
  2. Step 2: Convert to fraction form
    164,058/234,600 = 234,600/x
  3. Step 3: Cross multiply
    164,058x = 234,600 × 234,600
  4. Step 4: Simplify right side
    164,058x = 55,037,160,000
  5. Step 5: Solve for x
    x = 55,037,160,000/164,058
  6. Step 6: Final answer
    x = 335,473.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.