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Finding the Third Proportional to 167,349 and 360,942

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Solution

The third proportional to 167,349 and 360,942 is: 778,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,349 : 360,942 = 360,942 : x
  2. Step 2: Convert to fraction form
    167,349/360,942 = 360,942/x
  3. Step 3: Cross multiply
    167,349x = 360,942 × 360,942
  4. Step 4: Simplify right side
    167,349x = 130,279,127,364
  5. Step 5: Solve for x
    x = 130,279,127,364/167,349
  6. Step 6: Final answer
    x = 778,487.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.