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Finding the Third Proportional to 149,817 and 320,956.50

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Solution

The third proportional to 149,817 and 320,956.50 is: 687,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,817 : 320,956.50 = 320,956.50 : x
  2. Step 2: Convert to fraction form
    149,817/320,956.50 = 320,956.50/x
  3. Step 3: Cross multiply
    149,817x = 320,956.50 × 320,956.50
  4. Step 4: Simplify right side
    149,817x = 103,013,074,892.25
  5. Step 5: Solve for x
    x = 103,013,074,892.25/149,817
  6. Step 6: Final answer
    x = 687,592.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.