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Finding the Third Proportional to 162,974 and 360,940

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Solution

The third proportional to 162,974 and 360,940 is: 799,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,974 : 360,940 = 360,940 : x
  2. Step 2: Convert to fraction form
    162,974/360,940 = 360,940/x
  3. Step 3: Cross multiply
    162,974x = 360,940 × 360,940
  4. Step 4: Simplify right side
    162,974x = 130,277,683,600
  5. Step 5: Solve for x
    x = 130,277,683,600/162,974
  6. Step 6: Final answer
    x = 799,377.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.