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Finding the Third Proportional to 152,869.50 and 359,692.88

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Solution

The third proportional to 152,869.50 and 359,692.88 is: 846,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,869.50 : 359,692.88 = 359,692.88 : x
  2. Step 2: Convert to fraction form
    152,869.50/359,692.88 = 359,692.88/x
  3. Step 3: Cross multiply
    152,869.50x = 359,692.88 × 359,692.88
  4. Step 4: Simplify right side
    152,869.50x = 129,378,964,325.77
  5. Step 5: Solve for x
    x = 129,378,964,325.77/152,869.50
  6. Step 6: Final answer
    x = 846,336.02

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.