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Finding the Third Proportional to 155,268 and 229,968

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Solution

The third proportional to 155,268 and 229,968 is: 340,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,268 : 229,968 = 229,968 : x
  2. Step 2: Convert to fraction form
    155,268/229,968 = 229,968/x
  3. Step 3: Cross multiply
    155,268x = 229,968 × 229,968
  4. Step 4: Simplify right side
    155,268x = 52,885,281,024
  5. Step 5: Solve for x
    x = 52,885,281,024/155,268
  6. Step 6: Final answer
    x = 340,606.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.