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Finding the Third Proportional to 190,147.50 and 294,475.50

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Solution

The third proportional to 190,147.50 and 294,475.50 is: 456,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,147.50 : 294,475.50 = 294,475.50 : x
  2. Step 2: Convert to fraction form
    190,147.50/294,475.50 = 294,475.50/x
  3. Step 3: Cross multiply
    190,147.50x = 294,475.50 × 294,475.50
  4. Step 4: Simplify right side
    190,147.50x = 86,715,820,100.25
  5. Step 5: Solve for x
    x = 86,715,820,100.25/190,147.50
  6. Step 6: Final answer
    x = 456,045.02

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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.