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Finding the Third Proportional to 161,807.63 and 251,231.63

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Solution

The third proportional to 161,807.63 and 251,231.63 is: 390,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,807.63 : 251,231.63 = 251,231.63 : x
  2. Step 2: Convert to fraction form
    161,807.63/251,231.63 = 251,231.63/x
  3. Step 3: Cross multiply
    161,807.63x = 251,231.63 × 251,231.63
  4. Step 4: Simplify right side
    161,807.63x = 63,117,329,400.14
  5. Step 5: Solve for x
    x = 63,117,329,400.14/161,807.63
  6. Step 6: Final answer
    x = 390,076.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.