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Finding the Third Proportional to 163,780 and 357,512

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Solution

The third proportional to 163,780 and 357,512 is: 780,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,780 : 357,512 = 357,512 : x
  2. Step 2: Convert to fraction form
    163,780/357,512 = 357,512/x
  3. Step 3: Cross multiply
    163,780x = 357,512 × 357,512
  4. Step 4: Simplify right side
    163,780x = 127,814,830,144
  5. Step 5: Solve for x
    x = 127,814,830,144/163,780
  6. Step 6: Final answer
    x = 780,405.61

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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.