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Finding the Third Proportional to 210,398 and 295,940

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Solution

The third proportional to 210,398 and 295,940 is: 416,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,398 : 295,940 = 295,940 : x
  2. Step 2: Convert to fraction form
    210,398/295,940 = 295,940/x
  3. Step 3: Cross multiply
    210,398x = 295,940 × 295,940
  4. Step 4: Simplify right side
    210,398x = 87,580,483,600
  5. Step 5: Solve for x
    x = 87,580,483,600/210,398
  6. Step 6: Final answer
    x = 416,261.01

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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.