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Finding the Third Proportional to 208,051.03 and 313,272.56

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Solution

The third proportional to 208,051.03 and 313,272.56 is: 471,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,051.03 : 313,272.56 = 313,272.56 : x
  2. Step 2: Convert to fraction form
    208,051.03/313,272.56 = 313,272.56/x
  3. Step 3: Cross multiply
    208,051.03x = 313,272.56 × 313,272.56
  4. Step 4: Simplify right side
    208,051.03x = 98,139,698,415.32
  5. Step 5: Solve for x
    x = 98,139,698,415.32/208,051.03
  6. Step 6: Final answer
    x = 471,709.74

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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.