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Finding the Third Proportional to 202,431.66 and 429,770.81

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Solution

The third proportional to 202,431.66 and 429,770.81 is: 912,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,431.66 : 429,770.81 = 429,770.81 : x
  2. Step 2: Convert to fraction form
    202,431.66/429,770.81 = 429,770.81/x
  3. Step 3: Cross multiply
    202,431.66x = 429,770.81 × 429,770.81
  4. Step 4: Simplify right side
    202,431.66x = 184,702,951,276.91
  5. Step 5: Solve for x
    x = 184,702,951,276.91/202,431.66
  6. Step 6: Final answer
    x = 912,421.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.