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Finding the Third Proportional to 169,740 and 367,044

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Solution

The third proportional to 169,740 and 367,044 is: 793,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,740 : 367,044 = 367,044 : x
  2. Step 2: Convert to fraction form
    169,740/367,044 = 367,044/x
  3. Step 3: Cross multiply
    169,740x = 367,044 × 367,044
  4. Step 4: Simplify right side
    169,740x = 134,721,297,936
  5. Step 5: Solve for x
    x = 134,721,297,936/169,740
  6. Step 6: Final answer
    x = 793,692.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.