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Finding the Third Proportional to 199,412.82 and 301,492.76

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Solution

The third proportional to 199,412.82 and 301,492.76 is: 455,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,412.82 : 301,492.76 = 301,492.76 : x
  2. Step 2: Convert to fraction form
    199,412.82/301,492.76 = 301,492.76/x
  3. Step 3: Cross multiply
    199,412.82x = 301,492.76 × 301,492.76
  4. Step 4: Simplify right side
    199,412.82x = 90,897,883,013.39
  5. Step 5: Solve for x
    x = 90,897,883,013.39/199,412.82
  6. Step 6: Final answer
    x = 455,827.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.