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Finding the Third Proportional to 164,290 and 354,798

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Solution

The third proportional to 164,290 and 354,798 is: 766,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,290 : 354,798 = 354,798 : x
  2. Step 2: Convert to fraction form
    164,290/354,798 = 354,798/x
  3. Step 3: Cross multiply
    164,290x = 354,798 × 354,798
  4. Step 4: Simplify right side
    164,290x = 125,881,620,804
  5. Step 5: Solve for x
    x = 125,881,620,804/164,290
  6. Step 6: Final answer
    x = 766,215.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.