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Finding the Third Proportional to 149,490 and 327,010.50

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Solution

The third proportional to 149,490 and 327,010.50 is: 715,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,490 : 327,010.50 = 327,010.50 : x
  2. Step 2: Convert to fraction form
    149,490/327,010.50 = 327,010.50/x
  3. Step 3: Cross multiply
    149,490x = 327,010.50 × 327,010.50
  4. Step 4: Simplify right side
    149,490x = 106,935,867,110.25
  5. Step 5: Solve for x
    x = 106,935,867,110.25/149,490
  6. Step 6: Final answer
    x = 715,337.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.