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Finding the Third Proportional to 151,221 and 228,045.75

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Solution

The third proportional to 151,221 and 228,045.75 is: 343,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,221 : 228,045.75 = 228,045.75 : x
  2. Step 2: Convert to fraction form
    151,221/228,045.75 = 228,045.75/x
  3. Step 3: Cross multiply
    151,221x = 228,045.75 × 228,045.75
  4. Step 4: Simplify right side
    151,221x = 52,004,864,093.06
  5. Step 5: Solve for x
    x = 52,004,864,093.06/151,221
  6. Step 6: Final answer
    x = 343,899.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.