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Finding the Third Proportional to 162,074 and 245,343

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Solution

The third proportional to 162,074 and 245,343 is: 371,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,074 : 245,343 = 245,343 : x
  2. Step 2: Convert to fraction form
    162,074/245,343 = 245,343/x
  3. Step 3: Cross multiply
    162,074x = 245,343 × 245,343
  4. Step 4: Simplify right side
    162,074x = 60,193,187,649
  5. Step 5: Solve for x
    x = 60,193,187,649/162,074
  6. Step 6: Final answer
    x = 371,393.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.