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Finding the Third Proportional to 164,131.88 and 357,021.28

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Solution

The third proportional to 164,131.88 and 357,021.28 is: 776,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,131.88 : 357,021.28 = 357,021.28 : x
  2. Step 2: Convert to fraction form
    164,131.88/357,021.28 = 357,021.28/x
  3. Step 3: Cross multiply
    164,131.88x = 357,021.28 × 357,021.28
  4. Step 4: Simplify right side
    164,131.88x = 127,464,195,265.39
  5. Step 5: Solve for x
    x = 127,464,195,265.39/164,131.88
  6. Step 6: Final answer
    x = 776,596.23

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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.