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Finding the Third Proportional to 175,491.56 and 264,807.56

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Solution

The third proportional to 175,491.56 and 264,807.56 is: 399,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,491.56 : 264,807.56 = 264,807.56 : x
  2. Step 2: Convert to fraction form
    175,491.56/264,807.56 = 264,807.56/x
  3. Step 3: Cross multiply
    175,491.56x = 264,807.56 × 264,807.56
  4. Step 4: Simplify right side
    175,491.56x = 70,123,045,157.19
  5. Step 5: Solve for x
    x = 70,123,045,157.19/175,491.56
  6. Step 6: Final answer
    x = 399,580.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.