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Finding the Third Proportional to 113,746.50 and 242,235

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Solution

The third proportional to 113,746.50 and 242,235 is: 515,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,746.50 : 242,235 = 242,235 : x
  2. Step 2: Convert to fraction form
    113,746.50/242,235 = 242,235/x
  3. Step 3: Cross multiply
    113,746.50x = 242,235 × 242,235
  4. Step 4: Simplify right side
    113,746.50x = 58,677,795,225
  5. Step 5: Solve for x
    x = 58,677,795,225/113,746.50
  6. Step 6: Final answer
    x = 515,864.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.