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Finding the Third Proportional to 173,020 and 375,416

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Solution

The third proportional to 173,020 and 375,416 is: 814,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,020 : 375,416 = 375,416 : x
  2. Step 2: Convert to fraction form
    173,020/375,416 = 375,416/x
  3. Step 3: Cross multiply
    173,020x = 375,416 × 375,416
  4. Step 4: Simplify right side
    173,020x = 140,937,173,056
  5. Step 5: Solve for x
    x = 140,937,173,056/173,020
  6. Step 6: Final answer
    x = 814,571.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.