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Finding the Third Proportional to 161,764.50 and 351,473.50

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Solution

The third proportional to 161,764.50 and 351,473.50 is: 763,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,764.50 : 351,473.50 = 351,473.50 : x
  2. Step 2: Convert to fraction form
    161,764.50/351,473.50 = 351,473.50/x
  3. Step 3: Cross multiply
    161,764.50x = 351,473.50 × 351,473.50
  4. Step 4: Simplify right side
    161,764.50x = 123,533,621,202.25
  5. Step 5: Solve for x
    x = 123,533,621,202.25/161,764.50
  6. Step 6: Final answer
    x = 763,663.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.