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Finding the Third Proportional to 175,190 and 362,842

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Solution

The third proportional to 175,190 and 362,842 is: 751,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,190 : 362,842 = 362,842 : x
  2. Step 2: Convert to fraction form
    175,190/362,842 = 362,842/x
  3. Step 3: Cross multiply
    175,190x = 362,842 × 362,842
  4. Step 4: Simplify right side
    175,190x = 131,654,316,964
  5. Step 5: Solve for x
    x = 131,654,316,964/175,190
  6. Step 6: Final answer
    x = 751,494.47

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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.