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Finding the Third Proportional to 194,383 and 317,411

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Solution

The third proportional to 194,383 and 317,411 is: 518,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,383 : 317,411 = 317,411 : x
  2. Step 2: Convert to fraction form
    194,383/317,411 = 317,411/x
  3. Step 3: Cross multiply
    194,383x = 317,411 × 317,411
  4. Step 4: Simplify right side
    194,383x = 100,749,742,921
  5. Step 5: Solve for x
    x = 100,749,742,921/194,383
  6. Step 6: Final answer
    x = 518,305.32

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.