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Finding the Third Proportional to 148,154 and 235,353

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Solution

The third proportional to 148,154 and 235,353 is: 373,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,154 : 235,353 = 235,353 : x
  2. Step 2: Convert to fraction form
    148,154/235,353 = 235,353/x
  3. Step 3: Cross multiply
    148,154x = 235,353 × 235,353
  4. Step 4: Simplify right side
    148,154x = 55,391,034,609
  5. Step 5: Solve for x
    x = 55,391,034,609/148,154
  6. Step 6: Final answer
    x = 373,874.72

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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.