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Finding the Third Proportional to 234,058 and 353,158

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Solution

The third proportional to 234,058 and 353,158 is: 532,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,058 : 353,158 = 353,158 : x
  2. Step 2: Convert to fraction form
    234,058/353,158 = 353,158/x
  3. Step 3: Cross multiply
    234,058x = 353,158 × 353,158
  4. Step 4: Simplify right side
    234,058x = 124,720,572,964
  5. Step 5: Solve for x
    x = 124,720,572,964/234,058
  6. Step 6: Final answer
    x = 532,861.82

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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.