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Finding the Third Proportional to 158,672 and 229,272

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Solution

The third proportional to 158,672 and 229,272 is: 331,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,672 : 229,272 = 229,272 : x
  2. Step 2: Convert to fraction form
    158,672/229,272 = 229,272/x
  3. Step 3: Cross multiply
    158,672x = 229,272 × 229,272
  4. Step 4: Simplify right side
    158,672x = 52,565,649,984
  5. Step 5: Solve for x
    x = 52,565,649,984/158,672
  6. Step 6: Final answer
    x = 331,284.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.