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Finding the Third Proportional to 148,159 and 235,361

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Solution

The third proportional to 148,159 and 235,361 is: 373,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,159 : 235,361 = 235,361 : x
  2. Step 2: Convert to fraction form
    148,159/235,361 = 235,361/x
  3. Step 3: Cross multiply
    148,159x = 235,361 × 235,361
  4. Step 4: Simplify right side
    148,159x = 55,394,800,321
  5. Step 5: Solve for x
    x = 55,394,800,321/148,159
  6. Step 6: Final answer
    x = 373,887.51

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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.