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Finding the Third Proportional to 107,187 and 239,746.50

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Solution

The third proportional to 107,187 and 239,746.50 is: 536,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,187 : 239,746.50 = 239,746.50 : x
  2. Step 2: Convert to fraction form
    107,187/239,746.50 = 239,746.50/x
  3. Step 3: Cross multiply
    107,187x = 239,746.50 × 239,746.50
  4. Step 4: Simplify right side
    107,187x = 57,478,384,262.25
  5. Step 5: Solve for x
    x = 57,478,384,262.25/107,187
  6. Step 6: Final answer
    x = 536,243.99

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.