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Finding the Third Proportional to 121,359 and 264,022

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Solution

The third proportional to 121,359 and 264,022 is: 574,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,359 : 264,022 = 264,022 : x
  2. Step 2: Convert to fraction form
    121,359/264,022 = 264,022/x
  3. Step 3: Cross multiply
    121,359x = 264,022 × 264,022
  4. Step 4: Simplify right side
    121,359x = 69,707,616,484
  5. Step 5: Solve for x
    x = 69,707,616,484/121,359
  6. Step 6: Final answer
    x = 574,391.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.