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Finding the Third Proportional to 164,758 and 359,720

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Solution

The third proportional to 164,758 and 359,720 is: 785,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,758 : 359,720 = 359,720 : x
  2. Step 2: Convert to fraction form
    164,758/359,720 = 359,720/x
  3. Step 3: Cross multiply
    164,758x = 359,720 × 359,720
  4. Step 4: Simplify right side
    164,758x = 129,398,478,400
  5. Step 5: Solve for x
    x = 129,398,478,400/164,758
  6. Step 6: Final answer
    x = 785,385.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.