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Finding the Third Proportional to 147,326.34 and 313,971.19

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Solution

The third proportional to 147,326.34 and 313,971.19 is: 669,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,326.34 : 313,971.19 = 313,971.19 : x
  2. Step 2: Convert to fraction form
    147,326.34/313,971.19 = 313,971.19/x
  3. Step 3: Cross multiply
    147,326.34x = 313,971.19 × 313,971.19
  4. Step 4: Simplify right side
    147,326.34x = 98,577,906,580.16
  5. Step 5: Solve for x
    x = 98,577,906,580.16/147,326.34
  6. Step 6: Final answer
    x = 669,112.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.