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Finding the Third Proportional to 140,316 and 214,652

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Solution

The third proportional to 140,316 and 214,652 is: 328,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,316 : 214,652 = 214,652 : x
  2. Step 2: Convert to fraction form
    140,316/214,652 = 214,652/x
  3. Step 3: Cross multiply
    140,316x = 214,652 × 214,652
  4. Step 4: Simplify right side
    140,316x = 46,075,481,104
  5. Step 5: Solve for x
    x = 46,075,481,104/140,316
  6. Step 6: Final answer
    x = 328,369.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.