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Finding the Third Proportional to 164,203.50 and 354,057

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Solution

The third proportional to 164,203.50 and 354,057 is: 763,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,203.50 : 354,057 = 354,057 : x
  2. Step 2: Convert to fraction form
    164,203.50/354,057 = 354,057/x
  3. Step 3: Cross multiply
    164,203.50x = 354,057 × 354,057
  4. Step 4: Simplify right side
    164,203.50x = 125,356,359,249
  5. Step 5: Solve for x
    x = 125,356,359,249/164,203.50
  6. Step 6: Final answer
    x = 763,420.75

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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.