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Finding the Third Proportional to 148,128 and 323,352

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Solution

The third proportional to 148,128 and 323,352 is: 705,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,128 : 323,352 = 323,352 : x
  2. Step 2: Convert to fraction form
    148,128/323,352 = 323,352/x
  3. Step 3: Cross multiply
    148,128x = 323,352 × 323,352
  4. Step 4: Simplify right side
    148,128x = 104,556,515,904
  5. Step 5: Solve for x
    x = 104,556,515,904/148,128
  6. Step 6: Final answer
    x = 705,852.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.