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Finding the Third Proportional to 180,930 and 260,649

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Solution

The third proportional to 180,930 and 260,649 is: 375,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,930 : 260,649 = 260,649 : x
  2. Step 2: Convert to fraction form
    180,930/260,649 = 260,649/x
  3. Step 3: Cross multiply
    180,930x = 260,649 × 260,649
  4. Step 4: Simplify right side
    180,930x = 67,937,901,201
  5. Step 5: Solve for x
    x = 67,937,901,201/180,930
  6. Step 6: Final answer
    x = 375,492.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.