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Finding the Third Proportional to 114,104 and 266,630

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Solution

The third proportional to 114,104 and 266,630 is: 623,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,104 : 266,630 = 266,630 : x
  2. Step 2: Convert to fraction form
    114,104/266,630 = 266,630/x
  3. Step 3: Cross multiply
    114,104x = 266,630 × 266,630
  4. Step 4: Simplify right side
    114,104x = 71,091,556,900
  5. Step 5: Solve for x
    x = 71,091,556,900/114,104
  6. Step 6: Final answer
    x = 623,041.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.