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Finding the Third Proportional to 158,292 and 226,343

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Solution

The third proportional to 158,292 and 226,343 is: 323,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,292 : 226,343 = 226,343 : x
  2. Step 2: Convert to fraction form
    158,292/226,343 = 226,343/x
  3. Step 3: Cross multiply
    158,292x = 226,343 × 226,343
  4. Step 4: Simplify right side
    158,292x = 51,231,153,649
  5. Step 5: Solve for x
    x = 51,231,153,649/158,292
  6. Step 6: Final answer
    x = 323,649.67

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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.