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Finding the Third Proportional to 147,933 and 319,515.75

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Solution

The third proportional to 147,933 and 319,515.75 is: 690,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,933 : 319,515.75 = 319,515.75 : x
  2. Step 2: Convert to fraction form
    147,933/319,515.75 = 319,515.75/x
  3. Step 3: Cross multiply
    147,933x = 319,515.75 × 319,515.75
  4. Step 4: Simplify right side
    147,933x = 102,090,314,498.06
  5. Step 5: Solve for x
    x = 102,090,314,498.06/147,933
  6. Step 6: Final answer
    x = 690,111.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.