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Finding the Third Proportional to 172,706 and 371,428

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Solution

The third proportional to 172,706 and 371,428 is: 798,806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,706 : 371,428 = 371,428 : x
  2. Step 2: Convert to fraction form
    172,706/371,428 = 371,428/x
  3. Step 3: Cross multiply
    172,706x = 371,428 × 371,428
  4. Step 4: Simplify right side
    172,706x = 137,958,759,184
  5. Step 5: Solve for x
    x = 137,958,759,184/172,706
  6. Step 6: Final answer
    x = 798,806.99

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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.