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Finding the Third Proportional to 151,443 and 234,466.50

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Solution

The third proportional to 151,443 and 234,466.50 is: 363,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,443 : 234,466.50 = 234,466.50 : x
  2. Step 2: Convert to fraction form
    151,443/234,466.50 = 234,466.50/x
  3. Step 3: Cross multiply
    151,443x = 234,466.50 × 234,466.50
  4. Step 4: Simplify right side
    151,443x = 54,974,539,622.25
  5. Step 5: Solve for x
    x = 54,974,539,622.25/151,443
  6. Step 6: Final answer
    x = 363,004.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.