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Finding the Third Proportional to 207,914 and 304,095

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Solution

The third proportional to 207,914 and 304,095 is: 444,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,914 : 304,095 = 304,095 : x
  2. Step 2: Convert to fraction form
    207,914/304,095 = 304,095/x
  3. Step 3: Cross multiply
    207,914x = 304,095 × 304,095
  4. Step 4: Simplify right side
    207,914x = 92,473,769,025
  5. Step 5: Solve for x
    x = 92,473,769,025/207,914
  6. Step 6: Final answer
    x = 444,769.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.