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Finding the Third Proportional to 129,919 and 293,443.50

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Solution

The third proportional to 129,919 and 293,443.50 is: 662,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,919 : 293,443.50 = 293,443.50 : x
  2. Step 2: Convert to fraction form
    129,919/293,443.50 = 293,443.50/x
  3. Step 3: Cross multiply
    129,919x = 293,443.50 × 293,443.50
  4. Step 4: Simplify right side
    129,919x = 86,109,087,692.25
  5. Step 5: Solve for x
    x = 86,109,087,692.25/129,919
  6. Step 6: Final answer
    x = 662,790.57

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.