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Finding the Third Proportional to 110,636.50 and 237,402.50

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Solution

The third proportional to 110,636.50 and 237,402.50 is: 509,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,636.50 : 237,402.50 = 237,402.50 : x
  2. Step 2: Convert to fraction form
    110,636.50/237,402.50 = 237,402.50/x
  3. Step 3: Cross multiply
    110,636.50x = 237,402.50 × 237,402.50
  4. Step 4: Simplify right side
    110,636.50x = 56,359,947,006.25
  5. Step 5: Solve for x
    x = 56,359,947,006.25/110,636.50
  6. Step 6: Final answer
    x = 509,415.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.