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Finding the Third Proportional to 145,538.44 and 316,704.94

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Solution

The third proportional to 145,538.44 and 316,704.94 is: 689,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,538.44 : 316,704.94 = 316,704.94 : x
  2. Step 2: Convert to fraction form
    145,538.44/316,704.94 = 316,704.94/x
  3. Step 3: Cross multiply
    145,538.44x = 316,704.94 × 316,704.94
  4. Step 4: Simplify right side
    145,538.44x = 100,302,017,436.88
  5. Step 5: Solve for x
    x = 100,302,017,436.88/145,538.44
  6. Step 6: Final answer
    x = 689,178.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.