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Finding the Third Proportional to 179,926.88 and 384,768

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Solution

The third proportional to 179,926.88 and 384,768 is: 822,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,926.88 : 384,768 = 384,768 : x
  2. Step 2: Convert to fraction form
    179,926.88/384,768 = 384,768/x
  3. Step 3: Cross multiply
    179,926.88x = 384,768 × 384,768
  4. Step 4: Simplify right side
    179,926.88x = 148,046,413,824
  5. Step 5: Solve for x
    x = 148,046,413,824/179,926.88
  6. Step 6: Final answer
    x = 822,814.35

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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.