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Finding the Third Proportional to 178,425 and 262,706

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Solution

The third proportional to 178,425 and 262,706 is: 386,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,425 : 262,706 = 262,706 : x
  2. Step 2: Convert to fraction form
    178,425/262,706 = 262,706/x
  3. Step 3: Cross multiply
    178,425x = 262,706 × 262,706
  4. Step 4: Simplify right side
    178,425x = 69,014,442,436
  5. Step 5: Solve for x
    x = 69,014,442,436/178,425
  6. Step 6: Final answer
    x = 386,798.05

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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.