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Finding the Third Proportional to 168,428 and 360,196

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Solution

The third proportional to 168,428 and 360,196 is: 770,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,428 : 360,196 = 360,196 : x
  2. Step 2: Convert to fraction form
    168,428/360,196 = 360,196/x
  3. Step 3: Cross multiply
    168,428x = 360,196 × 360,196
  4. Step 4: Simplify right side
    168,428x = 129,741,158,416
  5. Step 5: Solve for x
    x = 129,741,158,416/168,428
  6. Step 6: Final answer
    x = 770,306.35

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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.