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Finding the Third Proportional to 142,075 and 308,288

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Solution

The third proportional to 142,075 and 308,288 is: 668,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,075 : 308,288 = 308,288 : x
  2. Step 2: Convert to fraction form
    142,075/308,288 = 308,288/x
  3. Step 3: Cross multiply
    142,075x = 308,288 × 308,288
  4. Step 4: Simplify right side
    142,075x = 95,041,490,944
  5. Step 5: Solve for x
    x = 95,041,490,944/142,075
  6. Step 6: Final answer
    x = 668,952.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.