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Finding the Third Proportional to 114,284 and 171,316

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Solution

The third proportional to 114,284 and 171,316 is: 256,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,284 : 171,316 = 171,316 : x
  2. Step 2: Convert to fraction form
    114,284/171,316 = 171,316/x
  3. Step 3: Cross multiply
    114,284x = 171,316 × 171,316
  4. Step 4: Simplify right side
    114,284x = 29,349,171,856
  5. Step 5: Solve for x
    x = 29,349,171,856/114,284
  6. Step 6: Final answer
    x = 256,809.11

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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.