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Finding the Third Proportional to 97,254 and 228,975

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Solution

The third proportional to 97,254 and 228,975 is: 539,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,254 : 228,975 = 228,975 : x
  2. Step 2: Convert to fraction form
    97,254/228,975 = 228,975/x
  3. Step 3: Cross multiply
    97,254x = 228,975 × 228,975
  4. Step 4: Simplify right side
    97,254x = 52,429,550,625
  5. Step 5: Solve for x
    x = 52,429,550,625/97,254
  6. Step 6: Final answer
    x = 539,099.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.