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Finding the Third Proportional to 178,427.25 and 262,711.88

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Solution

The third proportional to 178,427.25 and 262,711.88 is: 386,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,427.25 : 262,711.88 = 262,711.88 : x
  2. Step 2: Convert to fraction form
    178,427.25/262,711.88 = 262,711.88/x
  3. Step 3: Cross multiply
    178,427.25x = 262,711.88 × 262,711.88
  4. Step 4: Simplify right side
    178,427.25x = 69,017,529,266.02
  5. Step 5: Solve for x
    x = 69,017,529,266.02/178,427.25
  6. Step 6: Final answer
    x = 386,810.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.