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Finding the Third Proportional to 168,531 and 357,838.50

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Solution

The third proportional to 168,531 and 357,838.50 is: 759,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,531 : 357,838.50 = 357,838.50 : x
  2. Step 2: Convert to fraction form
    168,531/357,838.50 = 357,838.50/x
  3. Step 3: Cross multiply
    168,531x = 357,838.50 × 357,838.50
  4. Step 4: Simplify right side
    168,531x = 128,048,392,082.25
  5. Step 5: Solve for x
    x = 128,048,392,082.25/168,531
  6. Step 6: Final answer
    x = 759,791.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.