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Finding the Third Proportional to 164,276 and 239,954.50

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Solution

The third proportional to 164,276 and 239,954.50 is: 350,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,276 : 239,954.50 = 239,954.50 : x
  2. Step 2: Convert to fraction form
    164,276/239,954.50 = 239,954.50/x
  3. Step 3: Cross multiply
    164,276x = 239,954.50 × 239,954.50
  4. Step 4: Simplify right side
    164,276x = 57,578,162,070.25
  5. Step 5: Solve for x
    x = 57,578,162,070.25/164,276
  6. Step 6: Final answer
    x = 350,496.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.