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Finding the Third Proportional to 180,894 and 265,920

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Solution

The third proportional to 180,894 and 265,920 is: 390,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,894 : 265,920 = 265,920 : x
  2. Step 2: Convert to fraction form
    180,894/265,920 = 265,920/x
  3. Step 3: Cross multiply
    180,894x = 265,920 × 265,920
  4. Step 4: Simplify right side
    180,894x = 70,713,446,400
  5. Step 5: Solve for x
    x = 70,713,446,400/180,894
  6. Step 6: Final answer
    x = 390,910.96

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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.