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Finding the Third Proportional to 147,607.31 and 321,922.69

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Solution

The third proportional to 147,607.31 and 321,922.69 is: 702,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,607.31 : 321,922.69 = 321,922.69 : x
  2. Step 2: Convert to fraction form
    147,607.31/321,922.69 = 321,922.69/x
  3. Step 3: Cross multiply
    147,607.31x = 321,922.69 × 321,922.69
  4. Step 4: Simplify right side
    147,607.31x = 103,634,216,727.22
  5. Step 5: Solve for x
    x = 103,634,216,727.22/147,607.31
  6. Step 6: Final answer
    x = 702,094.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.