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Finding the Third Proportional to 173,732 and 275,316

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Solution

The third proportional to 173,732 and 275,316 is: 436,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,732 : 275,316 = 275,316 : x
  2. Step 2: Convert to fraction form
    173,732/275,316 = 275,316/x
  3. Step 3: Cross multiply
    173,732x = 275,316 × 275,316
  4. Step 4: Simplify right side
    173,732x = 75,798,899,856
  5. Step 5: Solve for x
    x = 75,798,899,856/173,732
  6. Step 6: Final answer
    x = 436,297.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.