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Finding the Third Proportional to 242,011.13 and 384,372

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Solution

The third proportional to 242,011.13 and 384,372 is: 610,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,011.13 : 384,372 = 384,372 : x
  2. Step 2: Convert to fraction form
    242,011.13/384,372 = 384,372/x
  3. Step 3: Cross multiply
    242,011.13x = 384,372 × 384,372
  4. Step 4: Simplify right side
    242,011.13x = 147,741,834,384
  5. Step 5: Solve for x
    x = 147,741,834,384/242,011.13
  6. Step 6: Final answer
    x = 610,475.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.