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Finding the Third Proportional to 243,384.75 and 363,051

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Solution

The third proportional to 243,384.75 and 363,051 is: 541,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,384.75 : 363,051 = 363,051 : x
  2. Step 2: Convert to fraction form
    243,384.75/363,051 = 363,051/x
  3. Step 3: Cross multiply
    243,384.75x = 363,051 × 363,051
  4. Step 4: Simplify right side
    243,384.75x = 131,806,028,601
  5. Step 5: Solve for x
    x = 131,806,028,601/243,384.75
  6. Step 6: Final answer
    x = 541,554.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.