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Finding the Third Proportional to 148,502.25 and 196,916.06

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Solution

The third proportional to 148,502.25 and 196,916.06 is: 261,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,502.25 : 196,916.06 = 196,916.06 : x
  2. Step 2: Convert to fraction form
    148,502.25/196,916.06 = 196,916.06/x
  3. Step 3: Cross multiply
    148,502.25x = 196,916.06 × 196,916.06
  4. Step 4: Simplify right side
    148,502.25x = 38,775,935,670.50
  5. Step 5: Solve for x
    x = 38,775,935,670.50/148,502.25
  6. Step 6: Final answer
    x = 261,113.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.