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Finding the Third Proportional to 180,898 and 265,927

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Solution

The third proportional to 180,898 and 265,927 is: 390,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,898 : 265,927 = 265,927 : x
  2. Step 2: Convert to fraction form
    180,898/265,927 = 265,927/x
  3. Step 3: Cross multiply
    180,898x = 265,927 × 265,927
  4. Step 4: Simplify right side
    180,898x = 70,717,169,329
  5. Step 5: Solve for x
    x = 70,717,169,329/180,898
  6. Step 6: Final answer
    x = 390,922.89

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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.