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Finding the Third Proportional to 155,175.75 and 237,276.84

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Solution

The third proportional to 155,175.75 and 237,276.84 is: 362,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,175.75 : 237,276.84 = 237,276.84 : x
  2. Step 2: Convert to fraction form
    155,175.75/237,276.84 = 237,276.84/x
  3. Step 3: Cross multiply
    155,175.75x = 237,276.84 × 237,276.84
  4. Step 4: Simplify right side
    155,175.75x = 56,300,300,579.96
  5. Step 5: Solve for x
    x = 56,300,300,579.96/155,175.75
  6. Step 6: Final answer
    x = 362,816.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.