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Finding the Third Proportional to 178,210.13 and 384,365.25

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Solution

The third proportional to 178,210.13 and 384,365.25 is: 829,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,210.13 : 384,365.25 = 384,365.25 : x
  2. Step 2: Convert to fraction form
    178,210.13/384,365.25 = 384,365.25/x
  3. Step 3: Cross multiply
    178,210.13x = 384,365.25 × 384,365.25
  4. Step 4: Simplify right side
    178,210.13x = 147,736,645,407.56
  5. Step 5: Solve for x
    x = 147,736,645,407.56/178,210.13
  6. Step 6: Final answer
    x = 829,002.54

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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.