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Finding the Third Proportional to 151,773 and 219,267.75

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Solution

The third proportional to 151,773 and 219,267.75 is: 316,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,773 : 219,267.75 = 219,267.75 : x
  2. Step 2: Convert to fraction form
    151,773/219,267.75 = 219,267.75/x
  3. Step 3: Cross multiply
    151,773x = 219,267.75 × 219,267.75
  4. Step 4: Simplify right side
    151,773x = 48,078,346,190.06
  5. Step 5: Solve for x
    x = 48,078,346,190.06/151,773
  6. Step 6: Final answer
    x = 316,777.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.