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Finding the Third Proportional to 142,072 and 297,752

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Solution

The third proportional to 142,072 and 297,752 is: 624,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,072 : 297,752 = 297,752 : x
  2. Step 2: Convert to fraction form
    142,072/297,752 = 297,752/x
  3. Step 3: Cross multiply
    142,072x = 297,752 × 297,752
  4. Step 4: Simplify right side
    142,072x = 88,656,253,504
  5. Step 5: Solve for x
    x = 88,656,253,504/142,072
  6. Step 6: Final answer
    x = 624,023.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.