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Finding the Third Proportional to 164,510 and 360,438

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Solution

The third proportional to 164,510 and 360,438 is: 789,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,510 : 360,438 = 360,438 : x
  2. Step 2: Convert to fraction form
    164,510/360,438 = 360,438/x
  3. Step 3: Cross multiply
    164,510x = 360,438 × 360,438
  4. Step 4: Simplify right side
    164,510x = 129,915,551,844
  5. Step 5: Solve for x
    x = 129,915,551,844/164,510
  6. Step 6: Final answer
    x = 789,712.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.