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Finding the Third Proportional to 148,074 and 235,233

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Solution

The third proportional to 148,074 and 235,233 is: 373,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,074 : 235,233 = 235,233 : x
  2. Step 2: Convert to fraction form
    148,074/235,233 = 235,233/x
  3. Step 3: Cross multiply
    148,074x = 235,233 × 235,233
  4. Step 4: Simplify right side
    148,074x = 55,334,564,289
  5. Step 5: Solve for x
    x = 55,334,564,289/148,074
  6. Step 6: Final answer
    x = 373,695.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.