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Finding the Third Proportional to 176,590.13 and 256,680

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Solution

The third proportional to 176,590.13 and 256,680 is: 373,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,590.13 : 256,680 = 256,680 : x
  2. Step 2: Convert to fraction form
    176,590.13/256,680 = 256,680/x
  3. Step 3: Cross multiply
    176,590.13x = 256,680 × 256,680
  4. Step 4: Simplify right side
    176,590.13x = 65,884,622,400
  5. Step 5: Solve for x
    x = 65,884,622,400/176,590.13
  6. Step 6: Final answer
    x = 373,093.47

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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.