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Finding the Third Proportional to 158,780 and 342,488

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Solution

The third proportional to 158,780 and 342,488 is: 738,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,780 : 342,488 = 342,488 : x
  2. Step 2: Convert to fraction form
    158,780/342,488 = 342,488/x
  3. Step 3: Cross multiply
    158,780x = 342,488 × 342,488
  4. Step 4: Simplify right side
    158,780x = 117,298,030,144
  5. Step 5: Solve for x
    x = 117,298,030,144/158,780
  6. Step 6: Final answer
    x = 738,745.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.