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Finding the Third Proportional to 236,455.88 and 357,136.59

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Solution

The third proportional to 236,455.88 and 357,136.59 is: 539,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,455.88 : 357,136.59 = 357,136.59 : x
  2. Step 2: Convert to fraction form
    236,455.88/357,136.59 = 357,136.59/x
  3. Step 3: Cross multiply
    236,455.88x = 357,136.59 × 357,136.59
  4. Step 4: Simplify right side
    236,455.88x = 127,546,546,595.35
  5. Step 5: Solve for x
    x = 127,546,546,595.35/236,455.88
  6. Step 6: Final answer
    x = 539,409.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.