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Finding the Third Proportional to 142,967.53 and 309,471.05

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Solution

The third proportional to 142,967.53 and 309,471.05 is: 669,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,967.53 : 309,471.05 = 309,471.05 : x
  2. Step 2: Convert to fraction form
    142,967.53/309,471.05 = 309,471.05/x
  3. Step 3: Cross multiply
    142,967.53x = 309,471.05 × 309,471.05
  4. Step 4: Simplify right side
    142,967.53x = 95,772,328,853.91
  5. Step 5: Solve for x
    x = 95,772,328,853.91/142,967.53
  6. Step 6: Final answer
    x = 669,888.67

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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.