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Finding the Third Proportional to 155,941 and 341,714

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Solution

The third proportional to 155,941 and 341,714 is: 748,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,941 : 341,714 = 341,714 : x
  2. Step 2: Convert to fraction form
    155,941/341,714 = 341,714/x
  3. Step 3: Cross multiply
    155,941x = 341,714 × 341,714
  4. Step 4: Simplify right side
    155,941x = 116,768,457,796
  5. Step 5: Solve for x
    x = 116,768,457,796/155,941
  6. Step 6: Final answer
    x = 748,798.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.