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Finding the Third Proportional to 156,960 and 335,466

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Solution

The third proportional to 156,960 and 335,466 is: 716,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,960 : 335,466 = 335,466 : x
  2. Step 2: Convert to fraction form
    156,960/335,466 = 335,466/x
  3. Step 3: Cross multiply
    156,960x = 335,466 × 335,466
  4. Step 4: Simplify right side
    156,960x = 112,537,437,156
  5. Step 5: Solve for x
    x = 112,537,437,156/156,960
  6. Step 6: Final answer
    x = 716,981.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.