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Finding the Third Proportional to 191,323.50 and 298,615.50

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Solution

The third proportional to 191,323.50 and 298,615.50 is: 466,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,323.50 : 298,615.50 = 298,615.50 : x
  2. Step 2: Convert to fraction form
    191,323.50/298,615.50 = 298,615.50/x
  3. Step 3: Cross multiply
    191,323.50x = 298,615.50 × 298,615.50
  4. Step 4: Simplify right side
    191,323.50x = 89,171,216,840.25
  5. Step 5: Solve for x
    x = 89,171,216,840.25/191,323.50
  6. Step 6: Final answer
    x = 466,075.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.