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Finding the Third Proportional to 180,933 and 265,983

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Solution

The third proportional to 180,933 and 265,983 is: 391,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,933 : 265,983 = 265,983 : x
  2. Step 2: Convert to fraction form
    180,933/265,983 = 265,983/x
  3. Step 3: Cross multiply
    180,933x = 265,983 × 265,983
  4. Step 4: Simplify right side
    180,933x = 70,746,956,289
  5. Step 5: Solve for x
    x = 70,746,956,289/180,933
  6. Step 6: Final answer
    x = 391,011.90

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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.