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Finding the Third Proportional to 169,052 and 356,968

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Solution

The third proportional to 169,052 and 356,968 is: 753,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,052 : 356,968 = 356,968 : x
  2. Step 2: Convert to fraction form
    169,052/356,968 = 356,968/x
  3. Step 3: Cross multiply
    169,052x = 356,968 × 356,968
  4. Step 4: Simplify right side
    169,052x = 127,426,153,024
  5. Step 5: Solve for x
    x = 127,426,153,024/169,052
  6. Step 6: Final answer
    x = 753,768.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.