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Finding the Third Proportional to 150,322 and 237,854

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Solution

The third proportional to 150,322 and 237,854 is: 376,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,322 : 237,854 = 237,854 : x
  2. Step 2: Convert to fraction form
    150,322/237,854 = 237,854/x
  3. Step 3: Cross multiply
    150,322x = 237,854 × 237,854
  4. Step 4: Simplify right side
    150,322x = 56,574,525,316
  5. Step 5: Solve for x
    x = 56,574,525,316/150,322
  6. Step 6: Final answer
    x = 376,355.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.