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Finding the Third Proportional to 133,075 and 288,754

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Solution

The third proportional to 133,075 and 288,754 is: 626,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,075 : 288,754 = 288,754 : x
  2. Step 2: Convert to fraction form
    133,075/288,754 = 288,754/x
  3. Step 3: Cross multiply
    133,075x = 288,754 × 288,754
  4. Step 4: Simplify right side
    133,075x = 83,378,872,516
  5. Step 5: Solve for x
    x = 83,378,872,516/133,075
  6. Step 6: Final answer
    x = 626,555.50

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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.