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Finding the Third Proportional to 176,546 and 392,321.75

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Solution

The third proportional to 176,546 and 392,321.75 is: 871,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,546 : 392,321.75 = 392,321.75 : x
  2. Step 2: Convert to fraction form
    176,546/392,321.75 = 392,321.75/x
  3. Step 3: Cross multiply
    176,546x = 392,321.75 × 392,321.75
  4. Step 4: Simplify right side
    176,546x = 153,916,355,523.06
  5. Step 5: Solve for x
    x = 153,916,355,523.06/176,546
  6. Step 6: Final answer
    x = 871,820.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.