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Finding the Third Proportional to 115,391.25 and 242,443.13

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Solution

The third proportional to 115,391.25 and 242,443.13 is: 509,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,391.25 : 242,443.13 = 242,443.13 : x
  2. Step 2: Convert to fraction form
    115,391.25/242,443.13 = 242,443.13/x
  3. Step 3: Cross multiply
    115,391.25x = 242,443.13 × 242,443.13
  4. Step 4: Simplify right side
    115,391.25x = 58,778,668,859.77
  5. Step 5: Solve for x
    x = 58,778,668,859.77/115,391.25
  6. Step 6: Final answer
    x = 509,385.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.