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Finding the Third Proportional to 237,564 and 356,658

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Solution

The third proportional to 237,564 and 356,658 is: 535,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,564 : 356,658 = 356,658 : x
  2. Step 2: Convert to fraction form
    237,564/356,658 = 356,658/x
  3. Step 3: Cross multiply
    237,564x = 356,658 × 356,658
  4. Step 4: Simplify right side
    237,564x = 127,204,928,964
  5. Step 5: Solve for x
    x = 127,204,928,964/237,564
  6. Step 6: Final answer
    x = 535,455.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.