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Finding the Third Proportional to 170,501 and 248,254

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Solution

The third proportional to 170,501 and 248,254 is: 361,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,501 : 248,254 = 248,254 : x
  2. Step 2: Convert to fraction form
    170,501/248,254 = 248,254/x
  3. Step 3: Cross multiply
    170,501x = 248,254 × 248,254
  4. Step 4: Simplify right side
    170,501x = 61,630,048,516
  5. Step 5: Solve for x
    x = 61,630,048,516/170,501
  6. Step 6: Final answer
    x = 361,464.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.