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Finding the Third Proportional to 210,498.75 and 320,600.53

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Solution

The third proportional to 210,498.75 and 320,600.53 is: 488,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,498.75 : 320,600.53 = 320,600.53 : x
  2. Step 2: Convert to fraction form
    210,498.75/320,600.53 = 320,600.53/x
  3. Step 3: Cross multiply
    210,498.75x = 320,600.53 × 320,600.53
  4. Step 4: Simplify right side
    210,498.75x = 102,784,700,637.78
  5. Step 5: Solve for x
    x = 102,784,700,637.78/210,498.75
  6. Step 6: Final answer
    x = 488,291.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.