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Finding the Third Proportional to 210,022.50 and 322,809.75

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Solution

The third proportional to 210,022.50 and 322,809.75 is: 496,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,022.50 : 322,809.75 = 322,809.75 : x
  2. Step 2: Convert to fraction form
    210,022.50/322,809.75 = 322,809.75/x
  3. Step 3: Cross multiply
    210,022.50x = 322,809.75 × 322,809.75
  4. Step 4: Simplify right side
    210,022.50x = 104,206,134,695.06
  5. Step 5: Solve for x
    x = 104,206,134,695.06/210,022.50
  6. Step 6: Final answer
    x = 496,166.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.