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Finding the Third Proportional to 147,871.50 and 320,655

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Solution

The third proportional to 147,871.50 and 320,655 is: 695,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,871.50 : 320,655 = 320,655 : x
  2. Step 2: Convert to fraction form
    147,871.50/320,655 = 320,655/x
  3. Step 3: Cross multiply
    147,871.50x = 320,655 × 320,655
  4. Step 4: Simplify right side
    147,871.50x = 102,819,629,025
  5. Step 5: Solve for x
    x = 102,819,629,025/147,871.50
  6. Step 6: Final answer
    x = 695,330.94

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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.