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Finding the Third Proportional to 207,225 and 304,038

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Solution

The third proportional to 207,225 and 304,038 is: 446,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,225 : 304,038 = 304,038 : x
  2. Step 2: Convert to fraction form
    207,225/304,038 = 304,038/x
  3. Step 3: Cross multiply
    207,225x = 304,038 × 304,038
  4. Step 4: Simplify right side
    207,225x = 92,439,105,444
  5. Step 5: Solve for x
    x = 92,439,105,444/207,225
  6. Step 6: Final answer
    x = 446,080.86

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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.