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Finding the Third Proportional to 220,164 and 365,602.50

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Solution

The third proportional to 220,164 and 365,602.50 is: 607,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,164 : 365,602.50 = 365,602.50 : x
  2. Step 2: Convert to fraction form
    220,164/365,602.50 = 365,602.50/x
  3. Step 3: Cross multiply
    220,164x = 365,602.50 × 365,602.50
  4. Step 4: Simplify right side
    220,164x = 133,665,188,006.25
  5. Step 5: Solve for x
    x = 133,665,188,006.25/220,164
  6. Step 6: Final answer
    x = 607,116.46

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.