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Finding the Third Proportional to 172,826 and 370,708

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Solution

The third proportional to 172,826 and 370,708 is: 795,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,826 : 370,708 = 370,708 : x
  2. Step 2: Convert to fraction form
    172,826/370,708 = 370,708/x
  3. Step 3: Cross multiply
    172,826x = 370,708 × 370,708
  4. Step 4: Simplify right side
    172,826x = 137,424,421,264
  5. Step 5: Solve for x
    x = 137,424,421,264/172,826
  6. Step 6: Final answer
    x = 795,160.57

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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.