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Finding the Third Proportional to 113,746 and 240,604

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Solution

The third proportional to 113,746 and 240,604 is: 508,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,746 : 240,604 = 240,604 : x
  2. Step 2: Convert to fraction form
    113,746/240,604 = 240,604/x
  3. Step 3: Cross multiply
    113,746x = 240,604 × 240,604
  4. Step 4: Simplify right side
    113,746x = 57,890,284,816
  5. Step 5: Solve for x
    x = 57,890,284,816/113,746
  6. Step 6: Final answer
    x = 508,943.48

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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.