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Finding the Third Proportional to 142,983 and 297,808.50

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Solution

The third proportional to 142,983 and 297,808.50 is: 620,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,983 : 297,808.50 = 297,808.50 : x
  2. Step 2: Convert to fraction form
    142,983/297,808.50 = 297,808.50/x
  3. Step 3: Cross multiply
    142,983x = 297,808.50 × 297,808.50
  4. Step 4: Simplify right side
    142,983x = 88,689,902,672.25
  5. Step 5: Solve for x
    x = 88,689,902,672.25/142,983
  6. Step 6: Final answer
    x = 620,282.85

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.