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Finding the Third Proportional to 182,495 and 391,842

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Solution

The third proportional to 182,495 and 391,842 is: 841,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,495 : 391,842 = 391,842 : x
  2. Step 2: Convert to fraction form
    182,495/391,842 = 391,842/x
  3. Step 3: Cross multiply
    182,495x = 391,842 × 391,842
  4. Step 4: Simplify right side
    182,495x = 153,540,152,964
  5. Step 5: Solve for x
    x = 153,540,152,964/182,495
  6. Step 6: Final answer
    x = 841,338.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.