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Finding the Third Proportional to 143,012.25 and 314,030.25

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Solution

The third proportional to 143,012.25 and 314,030.25 is: 689,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,012.25 : 314,030.25 = 314,030.25 : x
  2. Step 2: Convert to fraction form
    143,012.25/314,030.25 = 314,030.25/x
  3. Step 3: Cross multiply
    143,012.25x = 314,030.25 × 314,030.25
  4. Step 4: Simplify right side
    143,012.25x = 98,614,997,915.06
  5. Step 5: Solve for x
    x = 98,614,997,915.06/143,012.25
  6. Step 6: Final answer
    x = 689,556.30

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