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Finding the Third Proportional to 143,014.50 and 314,592.75

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Solution

The third proportional to 143,014.50 and 314,592.75 is: 692,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,014.50 : 314,592.75 = 314,592.75 : x
  2. Step 2: Convert to fraction form
    143,014.50/314,592.75 = 314,592.75/x
  3. Step 3: Cross multiply
    143,014.50x = 314,592.75 × 314,592.75
  4. Step 4: Simplify right side
    143,014.50x = 98,968,598,352.56
  5. Step 5: Solve for x
    x = 98,968,598,352.56/143,014.50
  6. Step 6: Final answer
    x = 692,017.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.