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Finding the Third Proportional to 110,602.97 and 237,335.06

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Solution

The third proportional to 110,602.97 and 237,335.06 is: 509,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,602.97 : 237,335.06 = 237,335.06 : x
  2. Step 2: Convert to fraction form
    110,602.97/237,335.06 = 237,335.06/x
  3. Step 3: Cross multiply
    110,602.97x = 237,335.06 × 237,335.06
  4. Step 4: Simplify right side
    110,602.97x = 56,327,931,891.88
  5. Step 5: Solve for x
    x = 56,327,931,891.88/110,602.97
  6. Step 6: Final answer
    x = 509,280.47

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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.