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Finding the Third Proportional to 253,356 and 401,160

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Solution

The third proportional to 253,356 and 401,160 is: 635,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,356 : 401,160 = 401,160 : x
  2. Step 2: Convert to fraction form
    253,356/401,160 = 401,160/x
  3. Step 3: Cross multiply
    253,356x = 401,160 × 401,160
  4. Step 4: Simplify right side
    253,356x = 160,929,345,600
  5. Step 5: Solve for x
    x = 160,929,345,600/253,356
  6. Step 6: Final answer
    x = 635,190.58

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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.