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Finding the Third Proportional to 203,746.50 and 322,552.13

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Solution

The third proportional to 203,746.50 and 322,552.13 is: 510,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,746.50 : 322,552.13 = 322,552.13 : x
  2. Step 2: Convert to fraction form
    203,746.50/322,552.13 = 322,552.13/x
  3. Step 3: Cross multiply
    203,746.50x = 322,552.13 × 322,552.13
  4. Step 4: Simplify right side
    203,746.50x = 104,039,873,342.02
  5. Step 5: Solve for x
    x = 104,039,873,342.02/203,746.50
  6. Step 6: Final answer
    x = 510,633.92

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.