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Finding the Third Proportional to 268,349.63 and 376,126.88

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Solution

The third proportional to 268,349.63 and 376,126.88 is: 527,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,349.63 : 376,126.88 = 376,126.88 : x
  2. Step 2: Convert to fraction form
    268,349.63/376,126.88 = 376,126.88/x
  3. Step 3: Cross multiply
    268,349.63x = 376,126.88 × 376,126.88
  4. Step 4: Simplify right side
    268,349.63x = 141,471,426,097.27
  5. Step 5: Solve for x
    x = 141,471,426,097.27/268,349.63
  6. Step 6: Final answer
    x = 527,190.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.