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Finding the Third Proportional to 237,808 and 358,728

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Solution

The third proportional to 237,808 and 358,728 is: 541,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,808 : 358,728 = 358,728 : x
  2. Step 2: Convert to fraction form
    237,808/358,728 = 358,728/x
  3. Step 3: Cross multiply
    237,808x = 358,728 × 358,728
  4. Step 4: Simplify right side
    237,808x = 128,685,777,984
  5. Step 5: Solve for x
    x = 128,685,777,984/237,808
  6. Step 6: Final answer
    x = 541,133.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.