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Finding the Third Proportional to 164,913 and 248,899.50

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Solution

The third proportional to 164,913 and 248,899.50 is: 375,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,913 : 248,899.50 = 248,899.50 : x
  2. Step 2: Convert to fraction form
    164,913/248,899.50 = 248,899.50/x
  3. Step 3: Cross multiply
    164,913x = 248,899.50 × 248,899.50
  4. Step 4: Simplify right side
    164,913x = 61,950,961,100.25
  5. Step 5: Solve for x
    x = 61,950,961,100.25/164,913
  6. Step 6: Final answer
    x = 375,658.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.