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Finding the Third Proportional to 146,216 and 320,358

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Solution

The third proportional to 146,216 and 320,358 is: 701,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,216 : 320,358 = 320,358 : x
  2. Step 2: Convert to fraction form
    146,216/320,358 = 320,358/x
  3. Step 3: Cross multiply
    146,216x = 320,358 × 320,358
  4. Step 4: Simplify right side
    146,216x = 102,629,248,164
  5. Step 5: Solve for x
    x = 102,629,248,164/146,216
  6. Step 6: Final answer
    x = 701,901.63

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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.