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Finding the Third Proportional to 159,061.50 and 343,030.50

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Solution

The third proportional to 159,061.50 and 343,030.50 is: 739,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,061.50 : 343,030.50 = 343,030.50 : x
  2. Step 2: Convert to fraction form
    159,061.50/343,030.50 = 343,030.50/x
  3. Step 3: Cross multiply
    159,061.50x = 343,030.50 × 343,030.50
  4. Step 4: Simplify right side
    159,061.50x = 117,669,923,930.25
  5. Step 5: Solve for x
    x = 117,669,923,930.25/159,061.50
  6. Step 6: Final answer
    x = 739,776.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.