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Finding the Third Proportional to 164,258.25 and 181,538.25

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Solution

The third proportional to 164,258.25 and 181,538.25 is: 200,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,258.25 : 181,538.25 = 181,538.25 : x
  2. Step 2: Convert to fraction form
    164,258.25/181,538.25 = 181,538.25/x
  3. Step 3: Cross multiply
    164,258.25x = 181,538.25 × 181,538.25
  4. Step 4: Simplify right side
    164,258.25x = 32,956,136,213.06
  5. Step 5: Solve for x
    x = 32,956,136,213.06/164,258.25
  6. Step 6: Final answer
    x = 200,636.11

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.