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Finding the Third Proportional to 147,688.31 and 323,967.09

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Solution

The third proportional to 147,688.31 and 323,967.09 is: 710,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,688.31 : 323,967.09 = 323,967.09 : x
  2. Step 2: Convert to fraction form
    147,688.31/323,967.09 = 323,967.09/x
  3. Step 3: Cross multiply
    147,688.31x = 323,967.09 × 323,967.09
  4. Step 4: Simplify right side
    147,688.31x = 104,954,677,832.82
  5. Step 5: Solve for x
    x = 104,954,677,832.82/147,688.31
  6. Step 6: Final answer
    x = 710,649.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.