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Finding the Third Proportional to 143,360 and 227,752.50

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Solution

The third proportional to 143,360 and 227,752.50 is: 361,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,360 : 227,752.50 = 227,752.50 : x
  2. Step 2: Convert to fraction form
    143,360/227,752.50 = 227,752.50/x
  3. Step 3: Cross multiply
    143,360x = 227,752.50 × 227,752.50
  4. Step 4: Simplify right side
    143,360x = 51,871,201,256.25
  5. Step 5: Solve for x
    x = 51,871,201,256.25/143,360
  6. Step 6: Final answer
    x = 361,824.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.