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Finding the Third Proportional to 334,124 and 518,160

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Solution

The third proportional to 334,124 and 518,160 is: 803,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,124 : 518,160 = 518,160 : x
  2. Step 2: Convert to fraction form
    334,124/518,160 = 518,160/x
  3. Step 3: Cross multiply
    334,124x = 518,160 × 518,160
  4. Step 4: Simplify right side
    334,124x = 268,489,785,600
  5. Step 5: Solve for x
    x = 268,489,785,600/334,124
  6. Step 6: Final answer
    x = 803,563.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.