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Finding the Third Proportional to 164,129 and 253,569.50

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Solution

The third proportional to 164,129 and 253,569.50 is: 391,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,129 : 253,569.50 = 253,569.50 : x
  2. Step 2: Convert to fraction form
    164,129/253,569.50 = 253,569.50/x
  3. Step 3: Cross multiply
    164,129x = 253,569.50 × 253,569.50
  4. Step 4: Simplify right side
    164,129x = 64,297,491,330.25
  5. Step 5: Solve for x
    x = 64,297,491,330.25/164,129
  6. Step 6: Final answer
    x = 391,749.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.