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Finding the Third Proportional to 164,232 and 360,792

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Solution

The third proportional to 164,232 and 360,792 is: 792,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,232 : 360,792 = 360,792 : x
  2. Step 2: Convert to fraction form
    164,232/360,792 = 360,792/x
  3. Step 3: Cross multiply
    164,232x = 360,792 × 360,792
  4. Step 4: Simplify right side
    164,232x = 130,170,867,264
  5. Step 5: Solve for x
    x = 130,170,867,264/164,232
  6. Step 6: Final answer
    x = 792,603.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.