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Finding the Third Proportional to 97,218 and 228,906

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Solution

The third proportional to 97,218 and 228,906 is: 538,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,218 : 228,906 = 228,906 : x
  2. Step 2: Convert to fraction form
    97,218/228,906 = 228,906/x
  3. Step 3: Cross multiply
    97,218x = 228,906 × 228,906
  4. Step 4: Simplify right side
    97,218x = 52,397,956,836
  5. Step 5: Solve for x
    x = 52,397,956,836/97,218
  6. Step 6: Final answer
    x = 538,973.82

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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.