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Finding the Third Proportional to 170,224 and 228,984

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Solution

The third proportional to 170,224 and 228,984 is: 308,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,224 : 228,984 = 228,984 : x
  2. Step 2: Convert to fraction form
    170,224/228,984 = 228,984/x
  3. Step 3: Cross multiply
    170,224x = 228,984 × 228,984
  4. Step 4: Simplify right side
    170,224x = 52,433,672,256
  5. Step 5: Solve for x
    x = 52,433,672,256/170,224
  6. Step 6: Final answer
    x = 308,027.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.