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Finding the Third Proportional to 162,058 and 353,358

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Solution

The third proportional to 162,058 and 353,358 is: 770,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,058 : 353,358 = 353,358 : x
  2. Step 2: Convert to fraction form
    162,058/353,358 = 353,358/x
  3. Step 3: Cross multiply
    162,058x = 353,358 × 353,358
  4. Step 4: Simplify right side
    162,058x = 124,861,876,164
  5. Step 5: Solve for x
    x = 124,861,876,164/162,058
  6. Step 6: Final answer
    x = 770,476.47

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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.