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Finding the Third Proportional to 163,620 and 230,358

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Solution

The third proportional to 163,620 and 230,358 is: 324,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,620 : 230,358 = 230,358 : x
  2. Step 2: Convert to fraction form
    163,620/230,358 = 230,358/x
  3. Step 3: Cross multiply
    163,620x = 230,358 × 230,358
  4. Step 4: Simplify right side
    163,620x = 53,064,808,164
  5. Step 5: Solve for x
    x = 53,064,808,164/163,620
  6. Step 6: Final answer
    x = 324,317.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.