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Finding the Third Proportional to 116,569.13 and 254,211.75

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Solution

The third proportional to 116,569.13 and 254,211.75 is: 554,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,569.13 : 254,211.75 = 254,211.75 : x
  2. Step 2: Convert to fraction form
    116,569.13/254,211.75 = 254,211.75/x
  3. Step 3: Cross multiply
    116,569.13x = 254,211.75 × 254,211.75
  4. Step 4: Simplify right side
    116,569.13x = 64,623,613,838.06
  5. Step 5: Solve for x
    x = 64,623,613,838.06/116,569.13
  6. Step 6: Final answer
    x = 554,380.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.