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Finding the Third Proportional to 155,466 and 334,714

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Solution

The third proportional to 155,466 and 334,714 is: 720,629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,466 : 334,714 = 334,714 : x
  2. Step 2: Convert to fraction form
    155,466/334,714 = 334,714/x
  3. Step 3: Cross multiply
    155,466x = 334,714 × 334,714
  4. Step 4: Simplify right side
    155,466x = 112,033,461,796
  5. Step 5: Solve for x
    x = 112,033,461,796/155,466
  6. Step 6: Final answer
    x = 720,629.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.