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Finding the Third Proportional to 173,570 and 380,431

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Solution

The third proportional to 173,570 and 380,431 is: 833,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,570 : 380,431 = 380,431 : x
  2. Step 2: Convert to fraction form
    173,570/380,431 = 380,431/x
  3. Step 3: Cross multiply
    173,570x = 380,431 × 380,431
  4. Step 4: Simplify right side
    173,570x = 144,727,745,761
  5. Step 5: Solve for x
    x = 144,727,745,761/173,570
  6. Step 6: Final answer
    x = 833,829.27

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Why These Related Problems?

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