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Finding the Third Proportional to 199,095 and 308,272.50

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Solution

The third proportional to 199,095 and 308,272.50 is: 477,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,095 : 308,272.50 = 308,272.50 : x
  2. Step 2: Convert to fraction form
    199,095/308,272.50 = 308,272.50/x
  3. Step 3: Cross multiply
    199,095x = 308,272.50 × 308,272.50
  4. Step 4: Simplify right side
    199,095x = 95,031,934,256.25
  5. Step 5: Solve for x
    x = 95,031,934,256.25/199,095
  6. Step 6: Final answer
    x = 477,319.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.