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Finding the Third Proportional to 176,563.13 and 256,641.75

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Solution

The third proportional to 176,563.13 and 256,641.75 is: 373,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,563.13 : 256,641.75 = 256,641.75 : x
  2. Step 2: Convert to fraction form
    176,563.13/256,641.75 = 256,641.75/x
  3. Step 3: Cross multiply
    176,563.13x = 256,641.75 × 256,641.75
  4. Step 4: Simplify right side
    176,563.13x = 65,864,987,843.06
  5. Step 5: Solve for x
    x = 65,864,987,843.06/176,563.13
  6. Step 6: Final answer
    x = 373,039.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.