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Finding the Third Proportional to 254,268 and 345,325.50

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Solution

The third proportional to 254,268 and 345,325.50 is: 468,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,268 : 345,325.50 = 345,325.50 : x
  2. Step 2: Convert to fraction form
    254,268/345,325.50 = 345,325.50/x
  3. Step 3: Cross multiply
    254,268x = 345,325.50 × 345,325.50
  4. Step 4: Simplify right side
    254,268x = 119,249,700,950.25
  5. Step 5: Solve for x
    x = 119,249,700,950.25/254,268
  6. Step 6: Final answer
    x = 468,992.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.