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Finding the Third Proportional to 178,329 and 260,929

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Solution

The third proportional to 178,329 and 260,929 is: 381,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,329 : 260,929 = 260,929 : x
  2. Step 2: Convert to fraction form
    178,329/260,929 = 260,929/x
  3. Step 3: Cross multiply
    178,329x = 260,929 × 260,929
  4. Step 4: Simplify right side
    178,329x = 68,083,943,041
  5. Step 5: Solve for x
    x = 68,083,943,041/178,329
  6. Step 6: Final answer
    x = 381,788.40

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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.