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Finding the Third Proportional to 140,657.06 and 200,995.88

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Solution

The third proportional to 140,657.06 and 200,995.88 is: 287,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,657.06 : 200,995.88 = 200,995.88 : x
  2. Step 2: Convert to fraction form
    140,657.06/200,995.88 = 200,995.88/x
  3. Step 3: Cross multiply
    140,657.06x = 200,995.88 × 200,995.88
  4. Step 4: Simplify right side
    140,657.06x = 40,399,341,767.02
  5. Step 5: Solve for x
    x = 40,399,341,767.02/140,657.06
  6. Step 6: Final answer
    x = 287,218.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.