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Finding the Third Proportional to 147,669.56 and 322,065.38

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Solution

The third proportional to 147,669.56 and 322,065.38 is: 702,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,669.56 : 322,065.38 = 322,065.38 : x
  2. Step 2: Convert to fraction form
    147,669.56/322,065.38 = 322,065.38/x
  3. Step 3: Cross multiply
    147,669.56x = 322,065.38 × 322,065.38
  4. Step 4: Simplify right side
    147,669.56x = 103,726,105,773.89
  5. Step 5: Solve for x
    x = 103,726,105,773.89/147,669.56
  6. Step 6: Final answer
    x = 702,420.35

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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.