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Finding the Third Proportional to 107,792 and 226,746

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Solution

The third proportional to 107,792 and 226,746 is: 476,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,792 : 226,746 = 226,746 : x
  2. Step 2: Convert to fraction form
    107,792/226,746 = 226,746/x
  3. Step 3: Cross multiply
    107,792x = 226,746 × 226,746
  4. Step 4: Simplify right side
    107,792x = 51,413,748,516
  5. Step 5: Solve for x
    x = 51,413,748,516/107,792
  6. Step 6: Final answer
    x = 476,971.84

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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.