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Finding the Third Proportional to 172,410.50 and 268,214.50

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Solution

The third proportional to 172,410.50 and 268,214.50 is: 417,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,410.50 : 268,214.50 = 268,214.50 : x
  2. Step 2: Convert to fraction form
    172,410.50/268,214.50 = 268,214.50/x
  3. Step 3: Cross multiply
    172,410.50x = 268,214.50 × 268,214.50
  4. Step 4: Simplify right side
    172,410.50x = 71,939,018,010.25
  5. Step 5: Solve for x
    x = 71,939,018,010.25/172,410.50
  6. Step 6: Final answer
    x = 417,254.27

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.