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Finding the Third Proportional to 172,765.13 and 264,649.50

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Solution

The third proportional to 172,765.13 and 264,649.50 is: 405,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,765.13 : 264,649.50 = 264,649.50 : x
  2. Step 2: Convert to fraction form
    172,765.13/264,649.50 = 264,649.50/x
  3. Step 3: Cross multiply
    172,765.13x = 264,649.50 × 264,649.50
  4. Step 4: Simplify right side
    172,765.13x = 70,039,357,850.25
  5. Step 5: Solve for x
    x = 70,039,357,850.25/172,765.13
  6. Step 6: Final answer
    x = 405,402.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.