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Finding the Third Proportional to 156,954 and 335,453

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Solution

The third proportional to 156,954 and 335,453 is: 716,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954 : 335,453 = 335,453 : x
  2. Step 2: Convert to fraction form
    156,954/335,453 = 335,453/x
  3. Step 3: Cross multiply
    156,954x = 335,453 × 335,453
  4. Step 4: Simplify right side
    156,954x = 112,528,715,209
  5. Step 5: Solve for x
    x = 112,528,715,209/156,954
  6. Step 6: Final answer
    x = 716,953.47

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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.