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Finding the Third Proportional to 148,807.97 and 312,357.94

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Solution

The third proportional to 148,807.97 and 312,357.94 is: 655,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,807.97 : 312,357.94 = 312,357.94 : x
  2. Step 2: Convert to fraction form
    148,807.97/312,357.94 = 312,357.94/x
  3. Step 3: Cross multiply
    148,807.97x = 312,357.94 × 312,357.94
  4. Step 4: Simplify right side
    148,807.97x = 97,567,481,119.25
  5. Step 5: Solve for x
    x = 97,567,481,119.25/148,807.97
  6. Step 6: Final answer
    x = 655,660.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.