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Finding the Third Proportional to 150,799.50 and 314,005.50

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Solution

The third proportional to 150,799.50 and 314,005.50 is: 653,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,799.50 : 314,005.50 = 314,005.50 : x
  2. Step 2: Convert to fraction form
    150,799.50/314,005.50 = 314,005.50/x
  3. Step 3: Cross multiply
    150,799.50x = 314,005.50 × 314,005.50
  4. Step 4: Simplify right side
    150,799.50x = 98,599,454,030.25
  5. Step 5: Solve for x
    x = 98,599,454,030.25/150,799.50
  6. Step 6: Final answer
    x = 653,844.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.