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Finding the Third Proportional to 194,576 and 317,688

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Solution

The third proportional to 194,576 and 317,688 is: 518,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,576 : 317,688 = 317,688 : x
  2. Step 2: Convert to fraction form
    194,576/317,688 = 317,688/x
  3. Step 3: Cross multiply
    194,576x = 317,688 × 317,688
  4. Step 4: Simplify right side
    194,576x = 100,925,665,344
  5. Step 5: Solve for x
    x = 100,925,665,344/194,576
  6. Step 6: Final answer
    x = 518,695.34

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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.