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Finding the Third Proportional to 161,430 and 221,593

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Solution

The third proportional to 161,430 and 221,593 is: 304,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,430 : 221,593 = 221,593 : x
  2. Step 2: Convert to fraction form
    161,430/221,593 = 221,593/x
  3. Step 3: Cross multiply
    161,430x = 221,593 × 221,593
  4. Step 4: Simplify right side
    161,430x = 49,103,457,649
  5. Step 5: Solve for x
    x = 49,103,457,649/161,430
  6. Step 6: Final answer
    x = 304,178.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.