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Finding the Third Proportional to 172,824 and 370,704

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Solution

The third proportional to 172,824 and 370,704 is: 795,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,824 : 370,704 = 370,704 : x
  2. Step 2: Convert to fraction form
    172,824/370,704 = 370,704/x
  3. Step 3: Cross multiply
    172,824x = 370,704 × 370,704
  4. Step 4: Simplify right side
    172,824x = 137,421,455,616
  5. Step 5: Solve for x
    x = 137,421,455,616/172,824
  6. Step 6: Final answer
    x = 795,152.62

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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.