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Finding the Third Proportional to 142,266 and 311,316

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Solution

The third proportional to 142,266 and 311,316 is: 681,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,266 : 311,316 = 311,316 : x
  2. Step 2: Convert to fraction form
    142,266/311,316 = 311,316/x
  3. Step 3: Cross multiply
    142,266x = 311,316 × 311,316
  4. Step 4: Simplify right side
    142,266x = 96,917,651,856
  5. Step 5: Solve for x
    x = 96,917,651,856/142,266
  6. Step 6: Final answer
    x = 681,242.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.