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Finding the Third Proportional to 164,502.50 and 357,193

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Solution

The third proportional to 164,502.50 and 357,193 is: 775,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,502.50 : 357,193 = 357,193 : x
  2. Step 2: Convert to fraction form
    164,502.50/357,193 = 357,193/x
  3. Step 3: Cross multiply
    164,502.50x = 357,193 × 357,193
  4. Step 4: Simplify right side
    164,502.50x = 127,586,839,249
  5. Step 5: Solve for x
    x = 127,586,839,249/164,502.50
  6. Step 6: Final answer
    x = 775,592.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.