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Finding the Third Proportional to 143,316 and 214,950

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Solution

The third proportional to 143,316 and 214,950 is: 322,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,316 : 214,950 = 214,950 : x
  2. Step 2: Convert to fraction form
    143,316/214,950 = 214,950/x
  3. Step 3: Cross multiply
    143,316x = 214,950 × 214,950
  4. Step 4: Simplify right side
    143,316x = 46,203,502,500
  5. Step 5: Solve for x
    x = 46,203,502,500/143,316
  6. Step 6: Final answer
    x = 322,389.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.