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Finding the Third Proportional to 191,627.50 and 403,100

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Solution

The third proportional to 191,627.50 and 403,100 is: 847,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,627.50 : 403,100 = 403,100 : x
  2. Step 2: Convert to fraction form
    191,627.50/403,100 = 403,100/x
  3. Step 3: Cross multiply
    191,627.50x = 403,100 × 403,100
  4. Step 4: Simplify right side
    191,627.50x = 162,489,610,000
  5. Step 5: Solve for x
    x = 162,489,610,000/191,627.50
  6. Step 6: Final answer
    x = 847,945.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.