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Finding the Third Proportional to 155,425 and 236,177

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Solution

The third proportional to 155,425 and 236,177 is: 358,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,425 : 236,177 = 236,177 : x
  2. Step 2: Convert to fraction form
    155,425/236,177 = 236,177/x
  3. Step 3: Cross multiply
    155,425x = 236,177 × 236,177
  4. Step 4: Simplify right side
    155,425x = 55,779,575,329
  5. Step 5: Solve for x
    x = 55,779,575,329/155,425
  6. Step 6: Final answer
    x = 358,884.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.