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Finding the Third Proportional to 173,328 and 376,320

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Solution

The third proportional to 173,328 and 376,320 is: 817,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,328 : 376,320 = 376,320 : x
  2. Step 2: Convert to fraction form
    173,328/376,320 = 376,320/x
  3. Step 3: Cross multiply
    173,328x = 376,320 × 376,320
  4. Step 4: Simplify right side
    173,328x = 141,616,742,400
  5. Step 5: Solve for x
    x = 141,616,742,400/173,328
  6. Step 6: Final answer
    x = 817,044.81

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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.