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Finding the Third Proportional to 103,322.25 and 243,337.50

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Solution

The third proportional to 103,322.25 and 243,337.50 is: 573,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,322.25 : 243,337.50 = 243,337.50 : x
  2. Step 2: Convert to fraction form
    103,322.25/243,337.50 = 243,337.50/x
  3. Step 3: Cross multiply
    103,322.25x = 243,337.50 × 243,337.50
  4. Step 4: Simplify right side
    103,322.25x = 59,213,138,906.25
  5. Step 5: Solve for x
    x = 59,213,138,906.25/103,322.25
  6. Step 6: Final answer
    x = 573,091.85

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.