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Finding the Third Proportional to 164,132.25 and 357,021.75

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Solution

The third proportional to 164,132.25 and 357,021.75 is: 776,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,132.25 : 357,021.75 = 357,021.75 : x
  2. Step 2: Convert to fraction form
    164,132.25/357,021.75 = 357,021.75/x
  3. Step 3: Cross multiply
    164,132.25x = 357,021.75 × 357,021.75
  4. Step 4: Simplify right side
    164,132.25x = 127,464,529,973.06
  5. Step 5: Solve for x
    x = 127,464,529,973.06/164,132.25
  6. Step 6: Final answer
    x = 776,596.49

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