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Finding the Third Proportional to 124,940 and 264,370

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Solution

The third proportional to 124,940 and 264,370 is: 559,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,940 : 264,370 = 264,370 : x
  2. Step 2: Convert to fraction form
    124,940/264,370 = 264,370/x
  3. Step 3: Cross multiply
    124,940x = 264,370 × 264,370
  4. Step 4: Simplify right side
    124,940x = 69,891,496,900
  5. Step 5: Solve for x
    x = 69,891,496,900/124,940
  6. Step 6: Final answer
    x = 559,400.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.