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Finding the Third Proportional to 253,675.13 and 401,385.38

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Solution

The third proportional to 253,675.13 and 401,385.38 is: 635,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,675.13 : 401,385.38 = 401,385.38 : x
  2. Step 2: Convert to fraction form
    253,675.13/401,385.38 = 401,385.38/x
  3. Step 3: Cross multiply
    253,675.13x = 401,385.38 × 401,385.38
  4. Step 4: Simplify right side
    253,675.13x = 161,110,219,263.89
  5. Step 5: Solve for x
    x = 161,110,219,263.89/253,675.13
  6. Step 6: Final answer
    x = 635,104.52

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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.