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Finding the Third Proportional to 207,232 and 304,022

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Solution

The third proportional to 207,232 and 304,022 is: 446,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,232 : 304,022 = 304,022 : x
  2. Step 2: Convert to fraction form
    207,232/304,022 = 304,022/x
  3. Step 3: Cross multiply
    207,232x = 304,022 × 304,022
  4. Step 4: Simplify right side
    207,232x = 92,429,376,484
  5. Step 5: Solve for x
    x = 92,429,376,484/207,232
  6. Step 6: Final answer
    x = 446,018.84

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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.