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Finding the Third Proportional to 164,259.50 and 181,539.50

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Solution

The third proportional to 164,259.50 and 181,539.50 is: 200,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,259.50 : 181,539.50 = 181,539.50 : x
  2. Step 2: Convert to fraction form
    164,259.50/181,539.50 = 181,539.50/x
  3. Step 3: Cross multiply
    164,259.50x = 181,539.50 × 181,539.50
  4. Step 4: Simplify right side
    164,259.50x = 32,956,590,060.25
  5. Step 5: Solve for x
    x = 32,956,590,060.25/164,259.50
  6. Step 6: Final answer
    x = 200,637.35

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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.