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Finding the Third Proportional to 155,133 and 335,022

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Solution

The third proportional to 155,133 and 335,022 is: 723,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,133 : 335,022 = 335,022 : x
  2. Step 2: Convert to fraction form
    155,133/335,022 = 335,022/x
  3. Step 3: Cross multiply
    155,133x = 335,022 × 335,022
  4. Step 4: Simplify right side
    155,133x = 112,239,740,484
  5. Step 5: Solve for x
    x = 112,239,740,484/155,133
  6. Step 6: Final answer
    x = 723,506.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.