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Finding the Third Proportional to 176,387.63 and 268,727.63

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Solution

The third proportional to 176,387.63 and 268,727.63 is: 409,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,387.63 : 268,727.63 = 268,727.63 : x
  2. Step 2: Convert to fraction form
    176,387.63/268,727.63 = 268,727.63/x
  3. Step 3: Cross multiply
    176,387.63x = 268,727.63 × 268,727.63
  4. Step 4: Simplify right side
    176,387.63x = 72,214,536,438.14
  5. Step 5: Solve for x
    x = 72,214,536,438.14/176,387.63
  6. Step 6: Final answer
    x = 409,408.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.