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Finding the Third Proportional to 155,969 and 236,155

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Solution

The third proportional to 155,969 and 236,155 is: 357,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,969 : 236,155 = 236,155 : x
  2. Step 2: Convert to fraction form
    155,969/236,155 = 236,155/x
  3. Step 3: Cross multiply
    155,969x = 236,155 × 236,155
  4. Step 4: Simplify right side
    155,969x = 55,769,184,025
  5. Step 5: Solve for x
    x = 55,769,184,025/155,969
  6. Step 6: Final answer
    x = 357,565.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.