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Finding the Third Proportional to 179,058 and 386,134.50

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Solution

The third proportional to 179,058 and 386,134.50 is: 832,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,058 : 386,134.50 = 386,134.50 : x
  2. Step 2: Convert to fraction form
    179,058/386,134.50 = 386,134.50/x
  3. Step 3: Cross multiply
    179,058x = 386,134.50 × 386,134.50
  4. Step 4: Simplify right side
    179,058x = 149,099,852,090.25
  5. Step 5: Solve for x
    x = 149,099,852,090.25/179,058
  6. Step 6: Final answer
    x = 832,690.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.