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Finding the Third Proportional to 147,022.13 and 318,938.25

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Solution

The third proportional to 147,022.13 and 318,938.25 is: 691,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,022.13 : 318,938.25 = 318,938.25 : x
  2. Step 2: Convert to fraction form
    147,022.13/318,938.25 = 318,938.25/x
  3. Step 3: Cross multiply
    147,022.13x = 318,938.25 × 318,938.25
  4. Step 4: Simplify right side
    147,022.13x = 101,721,607,313.06
  5. Step 5: Solve for x
    x = 101,721,607,313.06/147,022.13
  6. Step 6: Final answer
    x = 691,879.59

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Why These Related Problems?

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