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Finding the Third Proportional to 148,162 and 235,365

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Solution

The third proportional to 148,162 and 235,365 is: 373,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,162 : 235,365 = 235,365 : x
  2. Step 2: Convert to fraction form
    148,162/235,365 = 235,365/x
  3. Step 3: Cross multiply
    148,162x = 235,365 × 235,365
  4. Step 4: Simplify right side
    148,162x = 55,396,683,225
  5. Step 5: Solve for x
    x = 55,396,683,225/148,162
  6. Step 6: Final answer
    x = 373,892.65

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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.