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Finding the Third Proportional to 164,592 and 245,816

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Solution

The third proportional to 164,592 and 245,816 is: 367,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,592 : 245,816 = 245,816 : x
  2. Step 2: Convert to fraction form
    164,592/245,816 = 245,816/x
  3. Step 3: Cross multiply
    164,592x = 245,816 × 245,816
  4. Step 4: Simplify right side
    164,592x = 60,425,505,856
  5. Step 5: Solve for x
    x = 60,425,505,856/164,592
  6. Step 6: Final answer
    x = 367,122.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.