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Finding the Third Proportional to 116,772.89 and 255,356.93

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Solution

The third proportional to 116,772.89 and 255,356.93 is: 558,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,772.89 : 255,356.93 = 255,356.93 : x
  2. Step 2: Convert to fraction form
    116,772.89/255,356.93 = 255,356.93/x
  3. Step 3: Cross multiply
    116,772.89x = 255,356.93 × 255,356.93
  4. Step 4: Simplify right side
    116,772.89x = 65,207,161,539.43
  5. Step 5: Solve for x
    x = 65,207,161,539.43/116,772.89
  6. Step 6: Final answer
    x = 558,410.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.