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Finding the Third Proportional to 155,349 and 332,820

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Solution

The third proportional to 155,349 and 332,820 is: 713,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,349 : 332,820 = 332,820 : x
  2. Step 2: Convert to fraction form
    155,349/332,820 = 332,820/x
  3. Step 3: Cross multiply
    155,349x = 332,820 × 332,820
  4. Step 4: Simplify right side
    155,349x = 110,769,152,400
  5. Step 5: Solve for x
    x = 110,769,152,400/155,349
  6. Step 6: Final answer
    x = 713,034.22

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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.