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Finding the Third Proportional to 243,082.69 and 384,603.19

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Solution

The third proportional to 243,082.69 and 384,603.19 is: 608,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,082.69 : 384,603.19 = 384,603.19 : x
  2. Step 2: Convert to fraction form
    243,082.69/384,603.19 = 384,603.19/x
  3. Step 3: Cross multiply
    243,082.69x = 384,603.19 × 384,603.19
  4. Step 4: Simplify right side
    243,082.69x = 147,919,611,835.16
  5. Step 5: Solve for x
    x = 147,919,611,835.16/243,082.69
  6. Step 6: Final answer
    x = 608,515.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.