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Finding the Third Proportional to 164,583 and 245,796

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Solution

The third proportional to 164,583 and 245,796 is: 367,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,583 : 245,796 = 245,796 : x
  2. Step 2: Convert to fraction form
    164,583/245,796 = 245,796/x
  3. Step 3: Cross multiply
    164,583x = 245,796 × 245,796
  4. Step 4: Simplify right side
    164,583x = 60,415,673,616
  5. Step 5: Solve for x
    x = 60,415,673,616/164,583
  6. Step 6: Final answer
    x = 367,083.32

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Why These Related Problems?

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