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Finding the Third Proportional to 172,254.75 and 251,577.75

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Solution

The third proportional to 172,254.75 and 251,577.75 is: 367,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,254.75 : 251,577.75 = 251,577.75 : x
  2. Step 2: Convert to fraction form
    172,254.75/251,577.75 = 251,577.75/x
  3. Step 3: Cross multiply
    172,254.75x = 251,577.75 × 251,577.75
  4. Step 4: Simplify right side
    172,254.75x = 63,291,364,295.06
  5. Step 5: Solve for x
    x = 63,291,364,295.06/172,254.75
  6. Step 6: Final answer
    x = 367,428.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.