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Finding the Third Proportional to 175,216.50 and 367,929

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Solution

The third proportional to 175,216.50 and 367,929 is: 772,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,216.50 : 367,929 = 367,929 : x
  2. Step 2: Convert to fraction form
    175,216.50/367,929 = 367,929/x
  3. Step 3: Cross multiply
    175,216.50x = 367,929 × 367,929
  4. Step 4: Simplify right side
    175,216.50x = 135,371,749,041
  5. Step 5: Solve for x
    x = 135,371,749,041/175,216.50
  6. Step 6: Final answer
    x = 772,597.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.