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Finding the Third Proportional to 194,407 and 317,450

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Solution

The third proportional to 194,407 and 317,450 is: 518,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,407 : 317,450 = 317,450 : x
  2. Step 2: Convert to fraction form
    194,407/317,450 = 317,450/x
  3. Step 3: Cross multiply
    194,407x = 317,450 × 317,450
  4. Step 4: Simplify right side
    194,407x = 100,774,502,500
  5. Step 5: Solve for x
    x = 100,774,502,500/194,407
  6. Step 6: Final answer
    x = 518,368.69

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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.