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Finding the Third Proportional to 114,041.25 and 242,838

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Solution

The third proportional to 114,041.25 and 242,838 is: 517,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,041.25 : 242,838 = 242,838 : x
  2. Step 2: Convert to fraction form
    114,041.25/242,838 = 242,838/x
  3. Step 3: Cross multiply
    114,041.25x = 242,838 × 242,838
  4. Step 4: Simplify right side
    114,041.25x = 58,970,294,244
  5. Step 5: Solve for x
    x = 58,970,294,244/114,041.25
  6. Step 6: Final answer
    x = 517,096.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.