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Finding the Third Proportional to 151,668.75 and 328,209.75

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Solution

The third proportional to 151,668.75 and 328,209.75 is: 710,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,668.75 : 328,209.75 = 328,209.75 : x
  2. Step 2: Convert to fraction form
    151,668.75/328,209.75 = 328,209.75/x
  3. Step 3: Cross multiply
    151,668.75x = 328,209.75 × 328,209.75
  4. Step 4: Simplify right side
    151,668.75x = 107,721,639,995.06
  5. Step 5: Solve for x
    x = 107,721,639,995.06/151,668.75
  6. Step 6: Final answer
    x = 710,242.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.