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Finding the Third Proportional to 145,866 and 301,842

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Solution

The third proportional to 145,866 and 301,842 is: 624,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,866 : 301,842 = 301,842 : x
  2. Step 2: Convert to fraction form
    145,866/301,842 = 301,842/x
  3. Step 3: Cross multiply
    145,866x = 301,842 × 301,842
  4. Step 4: Simplify right side
    145,866x = 91,108,592,964
  5. Step 5: Solve for x
    x = 91,108,592,964/145,866
  6. Step 6: Final answer
    x = 624,604.73

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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.