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Finding the Third Proportional to 213,947 and 299,095.94

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Solution

The third proportional to 213,947 and 299,095.94 is: 418,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,947 : 299,095.94 = 299,095.94 : x
  2. Step 2: Convert to fraction form
    213,947/299,095.94 = 299,095.94/x
  3. Step 3: Cross multiply
    213,947x = 299,095.94 × 299,095.94
  4. Step 4: Simplify right side
    213,947x = 89,458,379,829.00
  5. Step 5: Solve for x
    x = 89,458,379,829.00/213,947
  6. Step 6: Final answer
    x = 418,133.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.