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Finding the Third Proportional to 164,422 and 353,798

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Solution

The third proportional to 164,422 and 353,798 is: 761,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,422 : 353,798 = 353,798 : x
  2. Step 2: Convert to fraction form
    164,422/353,798 = 353,798/x
  3. Step 3: Cross multiply
    164,422x = 353,798 × 353,798
  4. Step 4: Simplify right side
    164,422x = 125,173,024,804
  5. Step 5: Solve for x
    x = 125,173,024,804/164,422
  6. Step 6: Final answer
    x = 761,291.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.