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Finding the Third Proportional to 116,106.75 and 254,360.25

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Solution

The third proportional to 116,106.75 and 254,360.25 is: 557,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,106.75 : 254,360.25 = 254,360.25 : x
  2. Step 2: Convert to fraction form
    116,106.75/254,360.25 = 254,360.25/x
  3. Step 3: Cross multiply
    116,106.75x = 254,360.25 × 254,360.25
  4. Step 4: Simplify right side
    116,106.75x = 64,699,136,780.06
  5. Step 5: Solve for x
    x = 64,699,136,780.06/116,106.75
  6. Step 6: Final answer
    x = 557,238.38

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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.