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Finding the Third Proportional to 113,786 and 247,636.50

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Solution

The third proportional to 113,786 and 247,636.50 is: 538,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,786 : 247,636.50 = 247,636.50 : x
  2. Step 2: Convert to fraction form
    113,786/247,636.50 = 247,636.50/x
  3. Step 3: Cross multiply
    113,786x = 247,636.50 × 247,636.50
  4. Step 4: Simplify right side
    113,786x = 61,323,836,132.25
  5. Step 5: Solve for x
    x = 61,323,836,132.25/113,786
  6. Step 6: Final answer
    x = 538,940.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.