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Finding the Third Proportional to 202,298.06 and 442,692.84

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Solution

The third proportional to 202,298.06 and 442,692.84 is: 968,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.06 : 442,692.84 = 442,692.84 : x
  2. Step 2: Convert to fraction form
    202,298.06/442,692.84 = 442,692.84/x
  3. Step 3: Cross multiply
    202,298.06x = 442,692.84 × 442,692.84
  4. Step 4: Simplify right side
    202,298.06x = 195,976,953,907.46
  5. Step 5: Solve for x
    x = 195,976,953,907.46/202,298.06
  6. Step 6: Final answer
    x = 968,753.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.