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Finding the Third Proportional to 187,828.50 and 384,297

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Solution

The third proportional to 187,828.50 and 384,297 is: 786,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,828.50 : 384,297 = 384,297 : x
  2. Step 2: Convert to fraction form
    187,828.50/384,297 = 384,297/x
  3. Step 3: Cross multiply
    187,828.50x = 384,297 × 384,297
  4. Step 4: Simplify right side
    187,828.50x = 147,684,184,209
  5. Step 5: Solve for x
    x = 147,684,184,209/187,828.50
  6. Step 6: Final answer
    x = 786,271.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.