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Finding the Third Proportional to 176,365.50 and 380,608.50

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Solution

The third proportional to 176,365.50 and 380,608.50 is: 821,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,365.50 : 380,608.50 = 380,608.50 : x
  2. Step 2: Convert to fraction form
    176,365.50/380,608.50 = 380,608.50/x
  3. Step 3: Cross multiply
    176,365.50x = 380,608.50 × 380,608.50
  4. Step 4: Simplify right side
    176,365.50x = 144,862,830,272.25
  5. Step 5: Solve for x
    x = 144,862,830,272.25/176,365.50
  6. Step 6: Final answer
    x = 821,378.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.