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Finding the Third Proportional to 188,551.13 and 263,746.13

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Solution

The third proportional to 188,551.13 and 263,746.13 is: 368,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,551.13 : 263,746.13 = 263,746.13 : x
  2. Step 2: Convert to fraction form
    188,551.13/263,746.13 = 263,746.13/x
  3. Step 3: Cross multiply
    188,551.13x = 263,746.13 × 263,746.13
  4. Step 4: Simplify right side
    188,551.13x = 69,562,018,452.52
  5. Step 5: Solve for x
    x = 69,562,018,452.52/188,551.13
  6. Step 6: Final answer
    x = 368,929.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.