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Finding the Third Proportional to 124,630 and 264,839

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Solution

The third proportional to 124,630 and 264,839 is: 562,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,630 : 264,839 = 264,839 : x
  2. Step 2: Convert to fraction form
    124,630/264,839 = 264,839/x
  3. Step 3: Cross multiply
    124,630x = 264,839 × 264,839
  4. Step 4: Simplify right side
    124,630x = 70,139,695,921
  5. Step 5: Solve for x
    x = 70,139,695,921/124,630
  6. Step 6: Final answer
    x = 562,783.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.