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Finding the Third Proportional to 151,348.50 and 228,175.50

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Solution

The third proportional to 151,348.50 and 228,175.50 is: 344,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,348.50 : 228,175.50 = 228,175.50 : x
  2. Step 2: Convert to fraction form
    151,348.50/228,175.50 = 228,175.50/x
  3. Step 3: Cross multiply
    151,348.50x = 228,175.50 × 228,175.50
  4. Step 4: Simplify right side
    151,348.50x = 52,064,058,800.25
  5. Step 5: Solve for x
    x = 52,064,058,800.25/151,348.50
  6. Step 6: Final answer
    x = 344,001.15

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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.