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Finding the Third Proportional to 164,534.50 and 248,827

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Solution

The third proportional to 164,534.50 and 248,827 is: 376,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,534.50 : 248,827 = 248,827 : x
  2. Step 2: Convert to fraction form
    164,534.50/248,827 = 248,827/x
  3. Step 3: Cross multiply
    164,534.50x = 248,827 × 248,827
  4. Step 4: Simplify right side
    164,534.50x = 61,914,875,929
  5. Step 5: Solve for x
    x = 61,914,875,929/164,534.50
  6. Step 6: Final answer
    x = 376,303.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.