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Finding the Third Proportional to 243,334.13 and 362,982.94

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Solution

The third proportional to 243,334.13 and 362,982.94 is: 541,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,334.13 : 362,982.94 = 362,982.94 : x
  2. Step 2: Convert to fraction form
    243,334.13/362,982.94 = 362,982.94/x
  3. Step 3: Cross multiply
    243,334.13x = 362,982.94 × 362,982.94
  4. Step 4: Simplify right side
    243,334.13x = 131,756,612,916.13
  5. Step 5: Solve for x
    x = 131,756,612,916.13/243,334.13
  6. Step 6: Final answer
    x = 541,463.77

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Why These Related Problems?

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