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Finding the Third Proportional to 136,769.63 and 284,411.25

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Solution

The third proportional to 136,769.63 and 284,411.25 is: 591,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,769.63 : 284,411.25 = 284,411.25 : x
  2. Step 2: Convert to fraction form
    136,769.63/284,411.25 = 284,411.25/x
  3. Step 3: Cross multiply
    136,769.63x = 284,411.25 × 284,411.25
  4. Step 4: Simplify right side
    136,769.63x = 80,889,759,126.56
  5. Step 5: Solve for x
    x = 80,889,759,126.56/136,769.63
  6. Step 6: Final answer
    x = 591,430.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.