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Finding the Third Proportional to 160,564.50 and 379,722.38

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Solution

The third proportional to 160,564.50 and 379,722.38 is: 898,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,564.50 : 379,722.38 = 379,722.38 : x
  2. Step 2: Convert to fraction form
    160,564.50/379,722.38 = 379,722.38/x
  3. Step 3: Cross multiply
    160,564.50x = 379,722.38 × 379,722.38
  4. Step 4: Simplify right side
    160,564.50x = 144,189,082,075.64
  5. Step 5: Solve for x
    x = 144,189,082,075.64/160,564.50
  6. Step 6: Final answer
    x = 898,013.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.