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Finding the Third Proportional to 164,523 and 248,809.50

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Solution

The third proportional to 164,523 and 248,809.50 is: 376,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,523 : 248,809.50 = 248,809.50 : x
  2. Step 2: Convert to fraction form
    164,523/248,809.50 = 248,809.50/x
  3. Step 3: Cross multiply
    164,523x = 248,809.50 × 248,809.50
  4. Step 4: Simplify right side
    164,523x = 61,906,167,290.25
  5. Step 5: Solve for x
    x = 61,906,167,290.25/164,523
  6. Step 6: Final answer
    x = 376,276.67

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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.