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Finding the Third Proportional to 155,388 and 332,934

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Solution

The third proportional to 155,388 and 332,934 is: 713,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,388 : 332,934 = 332,934 : x
  2. Step 2: Convert to fraction form
    155,388/332,934 = 332,934/x
  3. Step 3: Cross multiply
    155,388x = 332,934 × 332,934
  4. Step 4: Simplify right side
    155,388x = 110,845,048,356
  5. Step 5: Solve for x
    x = 110,845,048,356/155,388
  6. Step 6: Final answer
    x = 713,343.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.