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Finding the Third Proportional to 207,142.31 and 453,807.56

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Solution

The third proportional to 207,142.31 and 453,807.56 is: 994,202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,142.31 : 453,807.56 = 453,807.56 : x
  2. Step 2: Convert to fraction form
    207,142.31/453,807.56 = 453,807.56/x
  3. Step 3: Cross multiply
    207,142.31x = 453,807.56 × 453,807.56
  4. Step 4: Simplify right side
    207,142.31x = 205,941,303,782.19
  5. Step 5: Solve for x
    x = 205,941,303,782.19/207,142.31
  6. Step 6: Final answer
    x = 994,202.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.