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Finding the Third Proportional to 209,307.75 and 334,158

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Solution

The third proportional to 209,307.75 and 334,158 is: 533,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,307.75 : 334,158 = 334,158 : x
  2. Step 2: Convert to fraction form
    209,307.75/334,158 = 334,158/x
  3. Step 3: Cross multiply
    209,307.75x = 334,158 × 334,158
  4. Step 4: Simplify right side
    209,307.75x = 111,661,568,964
  5. Step 5: Solve for x
    x = 111,661,568,964/209,307.75
  6. Step 6: Final answer
    x = 533,480.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.