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Finding the Third Proportional to 164,110.50 and 353,331

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Solution

The third proportional to 164,110.50 and 353,331 is: 760,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,110.50 : 353,331 = 353,331 : x
  2. Step 2: Convert to fraction form
    164,110.50/353,331 = 353,331/x
  3. Step 3: Cross multiply
    164,110.50x = 353,331 × 353,331
  4. Step 4: Simplify right side
    164,110.50x = 124,842,795,561
  5. Step 5: Solve for x
    x = 124,842,795,561/164,110.50
  6. Step 6: Final answer
    x = 760,724.00

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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.