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Finding the Third Proportional to 170,423 and 357,976

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Solution

The third proportional to 170,423 and 357,976 is: 751,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,423 : 357,976 = 357,976 : x
  2. Step 2: Convert to fraction form
    170,423/357,976 = 357,976/x
  3. Step 3: Cross multiply
    170,423x = 357,976 × 357,976
  4. Step 4: Simplify right side
    170,423x = 128,146,816,576
  5. Step 5: Solve for x
    x = 128,146,816,576/170,423
  6. Step 6: Final answer
    x = 751,933.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.