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Finding the Third Proportional to 149,748 and 325,375.50

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Solution

The third proportional to 149,748 and 325,375.50 is: 706,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,748 : 325,375.50 = 325,375.50 : x
  2. Step 2: Convert to fraction form
    149,748/325,375.50 = 325,375.50/x
  3. Step 3: Cross multiply
    149,748x = 325,375.50 × 325,375.50
  4. Step 4: Simplify right side
    149,748x = 105,869,216,000.25
  5. Step 5: Solve for x
    x = 105,869,216,000.25/149,748
  6. Step 6: Final answer
    x = 706,982.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.