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Finding the Third Proportional to 113,042.25 and 245,740.50

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Solution

The third proportional to 113,042.25 and 245,740.50 is: 534,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,042.25 : 245,740.50 = 245,740.50 : x
  2. Step 2: Convert to fraction form
    113,042.25/245,740.50 = 245,740.50/x
  3. Step 3: Cross multiply
    113,042.25x = 245,740.50 × 245,740.50
  4. Step 4: Simplify right side
    113,042.25x = 60,388,393,340.25
  5. Step 5: Solve for x
    x = 60,388,393,340.25/113,042.25
  6. Step 6: Final answer
    x = 534,210.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.