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Finding the Third Proportional to 190,076.63 and 284,553

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Solution

The third proportional to 190,076.63 and 284,553 is: 425,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,076.63 : 284,553 = 284,553 : x
  2. Step 2: Convert to fraction form
    190,076.63/284,553 = 284,553/x
  3. Step 3: Cross multiply
    190,076.63x = 284,553 × 284,553
  4. Step 4: Simplify right side
    190,076.63x = 80,970,409,809
  5. Step 5: Solve for x
    x = 80,970,409,809/190,076.63
  6. Step 6: Final answer
    x = 425,988.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.