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Finding the Third Proportional to 177,263.50 and 379,444.25

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Solution

The third proportional to 177,263.50 and 379,444.25 is: 812,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,263.50 : 379,444.25 = 379,444.25 : x
  2. Step 2: Convert to fraction form
    177,263.50/379,444.25 = 379,444.25/x
  3. Step 3: Cross multiply
    177,263.50x = 379,444.25 × 379,444.25
  4. Step 4: Simplify right side
    177,263.50x = 143,977,938,858.06
  5. Step 5: Solve for x
    x = 143,977,938,858.06/177,263.50
  6. Step 6: Final answer
    x = 812,225.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.