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Finding the Third Proportional to 151,011.75 and 325,166.25

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Solution

The third proportional to 151,011.75 and 325,166.25 is: 700,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,011.75 : 325,166.25 = 325,166.25 : x
  2. Step 2: Convert to fraction form
    151,011.75/325,166.25 = 325,166.25/x
  3. Step 3: Cross multiply
    151,011.75x = 325,166.25 × 325,166.25
  4. Step 4: Simplify right side
    151,011.75x = 105,733,090,139.06
  5. Step 5: Solve for x
    x = 105,733,090,139.06/151,011.75
  6. Step 6: Final answer
    x = 700,164.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.