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Finding the Third Proportional to 207,255 and 304,083

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Solution

The third proportional to 207,255 and 304,083 is: 446,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,255 : 304,083 = 304,083 : x
  2. Step 2: Convert to fraction form
    207,255/304,083 = 304,083/x
  3. Step 3: Cross multiply
    207,255x = 304,083 × 304,083
  4. Step 4: Simplify right side
    207,255x = 92,466,470,889
  5. Step 5: Solve for x
    x = 92,466,470,889/207,255
  6. Step 6: Final answer
    x = 446,148.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.