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Finding the Third Proportional to 164,049 and 253,343.50

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Solution

The third proportional to 164,049 and 253,343.50 is: 391,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,049 : 253,343.50 = 253,343.50 : x
  2. Step 2: Convert to fraction form
    164,049/253,343.50 = 253,343.50/x
  3. Step 3: Cross multiply
    164,049x = 253,343.50 × 253,343.50
  4. Step 4: Simplify right side
    164,049x = 64,182,928,992.25
  5. Step 5: Solve for x
    x = 64,182,928,992.25/164,049
  6. Step 6: Final answer
    x = 391,242.43

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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.