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Finding the Third Proportional to 155,154.75 and 237,244.75

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Solution

The third proportional to 155,154.75 and 237,244.75 is: 362,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,154.75 : 237,244.75 = 237,244.75 : x
  2. Step 2: Convert to fraction form
    155,154.75/237,244.75 = 237,244.75/x
  3. Step 3: Cross multiply
    155,154.75x = 237,244.75 × 237,244.75
  4. Step 4: Simplify right side
    155,154.75x = 56,285,071,402.56
  5. Step 5: Solve for x
    x = 56,285,071,402.56/155,154.75
  6. Step 6: Final answer
    x = 362,767.31

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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.