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Finding the Third Proportional to 228,572 and 348,662

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Solution

The third proportional to 228,572 and 348,662 is: 531,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,572 : 348,662 = 348,662 : x
  2. Step 2: Convert to fraction form
    228,572/348,662 = 348,662/x
  3. Step 3: Cross multiply
    228,572x = 348,662 × 348,662
  4. Step 4: Simplify right side
    228,572x = 121,565,190,244
  5. Step 5: Solve for x
    x = 121,565,190,244/228,572
  6. Step 6: Final answer
    x = 531,846.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.