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Finding the Third Proportional to 221,641.31 and 351,017.30

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Solution

The third proportional to 221,641.31 and 351,017.30 is: 555,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,641.31 : 351,017.30 = 351,017.30 : x
  2. Step 2: Convert to fraction form
    221,641.31/351,017.30 = 351,017.30/x
  3. Step 3: Cross multiply
    221,641.31x = 351,017.30 × 351,017.30
  4. Step 4: Simplify right side
    221,641.31x = 123,213,142,705.43
  5. Step 5: Solve for x
    x = 123,213,142,705.43/221,641.31
  6. Step 6: Final answer
    x = 555,912.35

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.