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Finding the Third Proportional to 152,961 and 328,066.50

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Solution

The third proportional to 152,961 and 328,066.50 is: 703,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,961 : 328,066.50 = 328,066.50 : x
  2. Step 2: Convert to fraction form
    152,961/328,066.50 = 328,066.50/x
  3. Step 3: Cross multiply
    152,961x = 328,066.50 × 328,066.50
  4. Step 4: Simplify right side
    152,961x = 107,627,628,422.25
  5. Step 5: Solve for x
    x = 107,627,628,422.25/152,961
  6. Step 6: Final answer
    x = 703,627.91

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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.