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Finding the Third Proportional to 142,964.80 and 309,466.20

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Solution

The third proportional to 142,964.80 and 309,466.20 is: 669,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,964.80 : 309,466.20 = 309,466.20 : x
  2. Step 2: Convert to fraction form
    142,964.80/309,466.20 = 309,466.20/x
  3. Step 3: Cross multiply
    142,964.80x = 309,466.20 × 309,466.20
  4. Step 4: Simplify right side
    142,964.80x = 95,769,326,041.19
  5. Step 5: Solve for x
    x = 95,769,326,041.19/142,964.80
  6. Step 6: Final answer
    x = 669,880.45

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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.