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Finding the Third Proportional to 97,438 and 208,052

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Solution

The third proportional to 97,438 and 208,052 is: 444,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,438 : 208,052 = 208,052 : x
  2. Step 2: Convert to fraction form
    97,438/208,052 = 208,052/x
  3. Step 3: Cross multiply
    97,438x = 208,052 × 208,052
  4. Step 4: Simplify right side
    97,438x = 43,285,634,704
  5. Step 5: Solve for x
    x = 43,285,634,704/97,438
  6. Step 6: Final answer
    x = 444,237.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.