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Finding the Third Proportional to 153,075 and 335,742

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Solution

The third proportional to 153,075 and 335,742 is: 736,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,075 : 335,742 = 335,742 : x
  2. Step 2: Convert to fraction form
    153,075/335,742 = 335,742/x
  3. Step 3: Cross multiply
    153,075x = 335,742 × 335,742
  4. Step 4: Simplify right side
    153,075x = 112,722,690,564
  5. Step 5: Solve for x
    x = 112,722,690,564/153,075
  6. Step 6: Final answer
    x = 736,388.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.