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Finding the Third Proportional to 180,655.88 and 393,483.38

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Solution

The third proportional to 180,655.88 and 393,483.38 is: 857,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,655.88 : 393,483.38 = 393,483.38 : x
  2. Step 2: Convert to fraction form
    180,655.88/393,483.38 = 393,483.38/x
  3. Step 3: Cross multiply
    180,655.88x = 393,483.38 × 393,483.38
  4. Step 4: Simplify right side
    180,655.88x = 154,829,166,401.39
  5. Step 5: Solve for x
    x = 154,829,166,401.39/180,655.88
  6. Step 6: Final answer
    x = 857,039.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.