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Finding the Third Proportional to 173,617 and 380,470

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Solution

The third proportional to 173,617 and 380,470 is: 833,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,617 : 380,470 = 380,470 : x
  2. Step 2: Convert to fraction form
    173,617/380,470 = 380,470/x
  3. Step 3: Cross multiply
    173,617x = 380,470 × 380,470
  4. Step 4: Simplify right side
    173,617x = 144,757,420,900
  5. Step 5: Solve for x
    x = 144,757,420,900/173,617
  6. Step 6: Final answer
    x = 833,774.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.