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Finding the Third Proportional to 172,014.56 and 265,691.63

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Solution

The third proportional to 172,014.56 and 265,691.63 is: 410,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,014.56 : 265,691.63 = 265,691.63 : x
  2. Step 2: Convert to fraction form
    172,014.56/265,691.63 = 265,691.63/x
  3. Step 3: Cross multiply
    172,014.56x = 265,691.63 × 265,691.63
  4. Step 4: Simplify right side
    172,014.56x = 70,592,039,595.14
  5. Step 5: Solve for x
    x = 70,592,039,595.14/172,014.56
  6. Step 6: Final answer
    x = 410,384.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.