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Finding the Third Proportional to 149,294 and 231,154

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Solution

The third proportional to 149,294 and 231,154 is: 357,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,294 : 231,154 = 231,154 : x
  2. Step 2: Convert to fraction form
    149,294/231,154 = 231,154/x
  3. Step 3: Cross multiply
    149,294x = 231,154 × 231,154
  4. Step 4: Simplify right side
    149,294x = 53,432,171,716
  5. Step 5: Solve for x
    x = 53,432,171,716/149,294
  6. Step 6: Final answer
    x = 357,898.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.