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Finding the Third Proportional to 189,034.50 and 412,737

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Solution

The third proportional to 189,034.50 and 412,737 is: 901,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,034.50 : 412,737 = 412,737 : x
  2. Step 2: Convert to fraction form
    189,034.50/412,737 = 412,737/x
  3. Step 3: Cross multiply
    189,034.50x = 412,737 × 412,737
  4. Step 4: Simplify right side
    189,034.50x = 170,351,831,169
  5. Step 5: Solve for x
    x = 170,351,831,169/189,034.50
  6. Step 6: Final answer
    x = 901,167.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.