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Finding the Third Proportional to 148,898.25 and 276,837.75

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Solution

The third proportional to 148,898.25 and 276,837.75 is: 514,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,898.25 : 276,837.75 = 276,837.75 : x
  2. Step 2: Convert to fraction form
    148,898.25/276,837.75 = 276,837.75/x
  3. Step 3: Cross multiply
    148,898.25x = 276,837.75 × 276,837.75
  4. Step 4: Simplify right side
    148,898.25x = 76,639,139,825.06
  5. Step 5: Solve for x
    x = 76,639,139,825.06/148,898.25
  6. Step 6: Final answer
    x = 514,708.13

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.