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Finding the Third Proportional to 112,770 and 266,697

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Solution

The third proportional to 112,770 and 266,697 is: 630,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,770 : 266,697 = 266,697 : x
  2. Step 2: Convert to fraction form
    112,770/266,697 = 266,697/x
  3. Step 3: Cross multiply
    112,770x = 266,697 × 266,697
  4. Step 4: Simplify right side
    112,770x = 71,127,289,809
  5. Step 5: Solve for x
    x = 71,127,289,809/112,770
  6. Step 6: Final answer
    x = 630,728.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.