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Finding the Third Proportional to 173,730 and 275,315

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Solution

The third proportional to 173,730 and 275,315 is: 436,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,730 : 275,315 = 275,315 : x
  2. Step 2: Convert to fraction form
    173,730/275,315 = 275,315/x
  3. Step 3: Cross multiply
    173,730x = 275,315 × 275,315
  4. Step 4: Simplify right side
    173,730x = 75,798,349,225
  5. Step 5: Solve for x
    x = 75,798,349,225/173,730
  6. Step 6: Final answer
    x = 436,299.71

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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.