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Finding the Third Proportional to 147,927 and 324,010.50

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Solution

The third proportional to 147,927 and 324,010.50 is: 709,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,927 : 324,010.50 = 324,010.50 : x
  2. Step 2: Convert to fraction form
    147,927/324,010.50 = 324,010.50/x
  3. Step 3: Cross multiply
    147,927x = 324,010.50 × 324,010.50
  4. Step 4: Simplify right side
    147,927x = 104,982,804,110.25
  5. Step 5: Solve for x
    x = 104,982,804,110.25/147,927
  6. Step 6: Final answer
    x = 709,693.32

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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.