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Finding the Third Proportional to 148,512.56 and 304,898.06

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Solution

The third proportional to 148,512.56 and 304,898.06 is: 625,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,512.56 : 304,898.06 = 304,898.06 : x
  2. Step 2: Convert to fraction form
    148,512.56/304,898.06 = 304,898.06/x
  3. Step 3: Cross multiply
    148,512.56x = 304,898.06 × 304,898.06
  4. Step 4: Simplify right side
    148,512.56x = 92,962,828,516.25
  5. Step 5: Solve for x
    x = 92,962,828,516.25/148,512.56
  6. Step 6: Final answer
    x = 625,959.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.