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Finding the Third Proportional to 175,182 and 362,820

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Solution

The third proportional to 175,182 and 362,820 is: 751,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,182 : 362,820 = 362,820 : x
  2. Step 2: Convert to fraction form
    175,182/362,820 = 362,820/x
  3. Step 3: Cross multiply
    175,182x = 362,820 × 362,820
  4. Step 4: Simplify right side
    175,182x = 131,638,352,400
  5. Step 5: Solve for x
    x = 131,638,352,400/175,182
  6. Step 6: Final answer
    x = 751,437.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.