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Finding the Third Proportional to 147,862.13 and 320,635.13

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Solution

The third proportional to 147,862.13 and 320,635.13 is: 695,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,862.13 : 320,635.13 = 320,635.13 : x
  2. Step 2: Convert to fraction form
    147,862.13/320,635.13 = 320,635.13/x
  3. Step 3: Cross multiply
    147,862.13x = 320,635.13 × 320,635.13
  4. Step 4: Simplify right side
    147,862.13x = 102,806,883,383.77
  5. Step 5: Solve for x
    x = 102,806,883,383.77/147,862.13
  6. Step 6: Final answer
    x = 695,288.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.