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Finding the Third Proportional to 144,964.97 and 299,873.95

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Solution

The third proportional to 144,964.97 and 299,873.95 is: 620,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,964.97 : 299,873.95 = 299,873.95 : x
  2. Step 2: Convert to fraction form
    144,964.97/299,873.95 = 299,873.95/x
  3. Step 3: Cross multiply
    144,964.97x = 299,873.95 × 299,873.95
  4. Step 4: Simplify right side
    144,964.97x = 89,924,387,762.81
  5. Step 5: Solve for x
    x = 89,924,387,762.81/144,964.97
  6. Step 6: Final answer
    x = 620,318.06

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.