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Finding the Third Proportional to 173,243 and 360,094

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Solution

The third proportional to 173,243 and 360,094 is: 748,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,243 : 360,094 = 360,094 : x
  2. Step 2: Convert to fraction form
    173,243/360,094 = 360,094/x
  3. Step 3: Cross multiply
    173,243x = 360,094 × 360,094
  4. Step 4: Simplify right side
    173,243x = 129,667,688,836
  5. Step 5: Solve for x
    x = 129,667,688,836/173,243
  6. Step 6: Final answer
    x = 748,472.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.