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Finding the Third Proportional to 149,346 and 231,246

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Solution

The third proportional to 149,346 and 231,246 is: 358,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,346 : 231,246 = 231,246 : x
  2. Step 2: Convert to fraction form
    149,346/231,246 = 231,246/x
  3. Step 3: Cross multiply
    149,346x = 231,246 × 231,246
  4. Step 4: Simplify right side
    149,346x = 53,474,712,516
  5. Step 5: Solve for x
    x = 53,474,712,516/149,346
  6. Step 6: Final answer
    x = 358,059.22

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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.