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Finding the Third Proportional to 164,259.75 and 181,539.75

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Solution

The third proportional to 164,259.75 and 181,539.75 is: 200,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,259.75 : 181,539.75 = 181,539.75 : x
  2. Step 2: Convert to fraction form
    164,259.75/181,539.75 = 181,539.75/x
  3. Step 3: Cross multiply
    164,259.75x = 181,539.75 × 181,539.75
  4. Step 4: Simplify right side
    164,259.75x = 32,956,680,830.06
  5. Step 5: Solve for x
    x = 32,956,680,830.06/164,259.75
  6. Step 6: Final answer
    x = 200,637.59

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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.