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Finding the Third Proportional to 152,961.75 and 328,066.25

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Solution

The third proportional to 152,961.75 and 328,066.25 is: 703,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,961.75 : 328,066.25 = 328,066.25 : x
  2. Step 2: Convert to fraction form
    152,961.75/328,066.25 = 328,066.25/x
  3. Step 3: Cross multiply
    152,961.75x = 328,066.25 × 328,066.25
  4. Step 4: Simplify right side
    152,961.75x = 107,627,464,389.06
  5. Step 5: Solve for x
    x = 107,627,464,389.06/152,961.75
  6. Step 6: Final answer
    x = 703,623.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.