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Finding the Third Proportional to 190,150.50 and 293,407.50

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Solution

The third proportional to 190,150.50 and 293,407.50 is: 452,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,150.50 : 293,407.50 = 293,407.50 : x
  2. Step 2: Convert to fraction form
    190,150.50/293,407.50 = 293,407.50/x
  3. Step 3: Cross multiply
    190,150.50x = 293,407.50 × 293,407.50
  4. Step 4: Simplify right side
    190,150.50x = 86,087,961,056.25
  5. Step 5: Solve for x
    x = 86,087,961,056.25/190,150.50
  6. Step 6: Final answer
    x = 452,735.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.