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Finding the Third Proportional to 158,202 and 343,763

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Solution

The third proportional to 158,202 and 343,763 is: 746,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,202 : 343,763 = 343,763 : x
  2. Step 2: Convert to fraction form
    158,202/343,763 = 343,763/x
  3. Step 3: Cross multiply
    158,202x = 343,763 × 343,763
  4. Step 4: Simplify right side
    158,202x = 118,173,000,169
  5. Step 5: Solve for x
    x = 118,173,000,169/158,202
  6. Step 6: Final answer
    x = 746,975.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.