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Finding the Third Proportional to 161,238 and 254,226

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Solution

The third proportional to 161,238 and 254,226 is: 400,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,238 : 254,226 = 254,226 : x
  2. Step 2: Convert to fraction form
    161,238/254,226 = 254,226/x
  3. Step 3: Cross multiply
    161,238x = 254,226 × 254,226
  4. Step 4: Simplify right side
    161,238x = 64,630,859,076
  5. Step 5: Solve for x
    x = 64,630,859,076/161,238
  6. Step 6: Final answer
    x = 400,841.36

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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.