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Finding the Third Proportional to 147,792 and 323,232

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Solution

The third proportional to 147,792 and 323,232 is: 706,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,792 : 323,232 = 323,232 : x
  2. Step 2: Convert to fraction form
    147,792/323,232 = 323,232/x
  3. Step 3: Cross multiply
    147,792x = 323,232 × 323,232
  4. Step 4: Simplify right side
    147,792x = 104,478,925,824
  5. Step 5: Solve for x
    x = 104,478,925,824/147,792
  6. Step 6: Final answer
    x = 706,932.21

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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.