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Finding the Third Proportional to 143,644.88 and 227,345.63

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Solution

The third proportional to 143,644.88 and 227,345.63 is: 359,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,644.88 : 227,345.63 = 227,345.63 : x
  2. Step 2: Convert to fraction form
    143,644.88/227,345.63 = 227,345.63/x
  3. Step 3: Cross multiply
    143,644.88x = 227,345.63 × 227,345.63
  4. Step 4: Simplify right side
    143,644.88x = 51,686,033,206.64
  5. Step 5: Solve for x
    x = 51,686,033,206.64/143,644.88
  6. Step 6: Final answer
    x = 359,818.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.