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Finding the Third Proportional to 155,539 and 317,639

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Solution

The third proportional to 155,539 and 317,639 is: 648,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,539 : 317,639 = 317,639 : x
  2. Step 2: Convert to fraction form
    155,539/317,639 = 317,639/x
  3. Step 3: Cross multiply
    155,539x = 317,639 × 317,639
  4. Step 4: Simplify right side
    155,539x = 100,894,534,321
  5. Step 5: Solve for x
    x = 100,894,534,321/155,539
  6. Step 6: Final answer
    x = 648,676.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.