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Finding the Third Proportional to 167,133 and 357,594

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Solution

The third proportional to 167,133 and 357,594 is: 765,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,133 : 357,594 = 357,594 : x
  2. Step 2: Convert to fraction form
    167,133/357,594 = 357,594/x
  3. Step 3: Cross multiply
    167,133x = 357,594 × 357,594
  4. Step 4: Simplify right side
    167,133x = 127,873,468,836
  5. Step 5: Solve for x
    x = 127,873,468,836/167,133
  6. Step 6: Final answer
    x = 765,100.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.