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Finding the Third Proportional to 143,075.25 and 210,224.25

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Solution

The third proportional to 143,075.25 and 210,224.25 is: 308,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,075.25 : 210,224.25 = 210,224.25 : x
  2. Step 2: Convert to fraction form
    143,075.25/210,224.25 = 210,224.25/x
  3. Step 3: Cross multiply
    143,075.25x = 210,224.25 × 210,224.25
  4. Step 4: Simplify right side
    143,075.25x = 44,194,235,288.06
  5. Step 5: Solve for x
    x = 44,194,235,288.06/143,075.25
  6. Step 6: Final answer
    x = 308,888.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.