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Finding the Third Proportional to 172,145.25 and 364,748.06

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Solution

The third proportional to 172,145.25 and 364,748.06 is: 772,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,145.25 : 364,748.06 = 364,748.06 : x
  2. Step 2: Convert to fraction form
    172,145.25/364,748.06 = 364,748.06/x
  3. Step 3: Cross multiply
    172,145.25x = 364,748.06 × 364,748.06
  4. Step 4: Simplify right side
    172,145.25x = 133,041,149,097.50
  5. Step 5: Solve for x
    x = 133,041,149,097.50/172,145.25
  6. Step 6: Final answer
    x = 772,842.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.