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Finding the Third Proportional to 170,475 and 358,923

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Solution

The third proportional to 170,475 and 358,923 is: 755,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,475 : 358,923 = 358,923 : x
  2. Step 2: Convert to fraction form
    170,475/358,923 = 358,923/x
  3. Step 3: Cross multiply
    170,475x = 358,923 × 358,923
  4. Step 4: Simplify right side
    170,475x = 128,825,719,929
  5. Step 5: Solve for x
    x = 128,825,719,929/170,475
  6. Step 6: Final answer
    x = 755,686.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.