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Finding the Third Proportional to 149,169 and 225,193.50

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Solution

The third proportional to 149,169 and 225,193.50 is: 339,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,169 : 225,193.50 = 225,193.50 : x
  2. Step 2: Convert to fraction form
    149,169/225,193.50 = 225,193.50/x
  3. Step 3: Cross multiply
    149,169x = 225,193.50 × 225,193.50
  4. Step 4: Simplify right side
    149,169x = 50,712,112,442.25
  5. Step 5: Solve for x
    x = 50,712,112,442.25/149,169
  6. Step 6: Final answer
    x = 339,964.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.