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Finding the Third Proportional to 161,567.63 and 226,407

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Solution

The third proportional to 161,567.63 and 226,407 is: 317,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,567.63 : 226,407 = 226,407 : x
  2. Step 2: Convert to fraction form
    161,567.63/226,407 = 226,407/x
  3. Step 3: Cross multiply
    161,567.63x = 226,407 × 226,407
  4. Step 4: Simplify right side
    161,567.63x = 51,260,129,649
  5. Step 5: Solve for x
    x = 51,260,129,649/161,567.63
  6. Step 6: Final answer
    x = 317,267.33

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.