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Finding the Third Proportional to 176,580 and 270,054

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Solution

The third proportional to 176,580 and 270,054 is: 413,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,580 : 270,054 = 270,054 : x
  2. Step 2: Convert to fraction form
    176,580/270,054 = 270,054/x
  3. Step 3: Cross multiply
    176,580x = 270,054 × 270,054
  4. Step 4: Simplify right side
    176,580x = 72,929,162,916
  5. Step 5: Solve for x
    x = 72,929,162,916/176,580
  6. Step 6: Final answer
    x = 413,009.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.