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Finding the Third Proportional to 178,454 and 260,967

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Solution

The third proportional to 178,454 and 260,967 is: 381,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,454 : 260,967 = 260,967 : x
  2. Step 2: Convert to fraction form
    178,454/260,967 = 260,967/x
  3. Step 3: Cross multiply
    178,454x = 260,967 × 260,967
  4. Step 4: Simplify right side
    178,454x = 68,103,775,089
  5. Step 5: Solve for x
    x = 68,103,775,089/178,454
  6. Step 6: Final answer
    x = 381,632.10

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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.