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Finding the Third Proportional to 187,830.75 and 405,253.50

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Solution

The third proportional to 187,830.75 and 405,253.50 is: 874,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,830.75 : 405,253.50 = 405,253.50 : x
  2. Step 2: Convert to fraction form
    187,830.75/405,253.50 = 405,253.50/x
  3. Step 3: Cross multiply
    187,830.75x = 405,253.50 × 405,253.50
  4. Step 4: Simplify right side
    187,830.75x = 164,230,399,262.25
  5. Step 5: Solve for x
    x = 164,230,399,262.25/187,830.75
  6. Step 6: Final answer
    x = 874,353.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.