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Finding the Third Proportional to 123,690 and 264,870

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Solution

The third proportional to 123,690 and 264,870 is: 567,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,690 : 264,870 = 264,870 : x
  2. Step 2: Convert to fraction form
    123,690/264,870 = 264,870/x
  3. Step 3: Cross multiply
    123,690x = 264,870 × 264,870
  4. Step 4: Simplify right side
    123,690x = 70,156,116,900
  5. Step 5: Solve for x
    x = 70,156,116,900/123,690
  6. Step 6: Final answer
    x = 567,193.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.