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Finding the Third Proportional to 212,851.13 and 329,604.19

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Solution

The third proportional to 212,851.13 and 329,604.19 is: 510,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,851.13 : 329,604.19 = 329,604.19 : x
  2. Step 2: Convert to fraction form
    212,851.13/329,604.19 = 329,604.19/x
  3. Step 3: Cross multiply
    212,851.13x = 329,604.19 × 329,604.19
  4. Step 4: Simplify right side
    212,851.13x = 108,638,920,417.54
  5. Step 5: Solve for x
    x = 108,638,920,417.54/212,851.13
  6. Step 6: Final answer
    x = 510,398.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.