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Finding the Third Proportional to 98,316 and 150,339

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Solution

The third proportional to 98,316 and 150,339 is: 229,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,316 : 150,339 = 150,339 : x
  2. Step 2: Convert to fraction form
    98,316/150,339 = 150,339/x
  3. Step 3: Cross multiply
    98,316x = 150,339 × 150,339
  4. Step 4: Simplify right side
    98,316x = 22,601,814,921
  5. Step 5: Solve for x
    x = 22,601,814,921/98,316
  6. Step 6: Final answer
    x = 229,889.49

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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.