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Finding the Third Proportional to 142,942.50 and 304,373.25

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Solution

The third proportional to 142,942.50 and 304,373.25 is: 648,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,942.50 : 304,373.25 = 304,373.25 : x
  2. Step 2: Convert to fraction form
    142,942.50/304,373.25 = 304,373.25/x
  3. Step 3: Cross multiply
    142,942.50x = 304,373.25 × 304,373.25
  4. Step 4: Simplify right side
    142,942.50x = 92,643,075,315.56
  5. Step 5: Solve for x
    x = 92,643,075,315.56/142,942.50
  6. Step 6: Final answer
    x = 648,114.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.