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Finding the Third Proportional to 178,417 and 260,925

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Solution

The third proportional to 178,417 and 260,925 is: 381,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,417 : 260,925 = 260,925 : x
  2. Step 2: Convert to fraction form
    178,417/260,925 = 260,925/x
  3. Step 3: Cross multiply
    178,417x = 260,925 × 260,925
  4. Step 4: Simplify right side
    178,417x = 68,081,855,625
  5. Step 5: Solve for x
    x = 68,081,855,625/178,417
  6. Step 6: Final answer
    x = 381,588.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.