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Finding the Third Proportional to 175,365 and 378,094.50

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Solution

The third proportional to 175,365 and 378,094.50 is: 815,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,365 : 378,094.50 = 378,094.50 : x
  2. Step 2: Convert to fraction form
    175,365/378,094.50 = 378,094.50/x
  3. Step 3: Cross multiply
    175,365x = 378,094.50 × 378,094.50
  4. Step 4: Simplify right side
    175,365x = 142,955,450,930.25
  5. Step 5: Solve for x
    x = 142,955,450,930.25/175,365
  6. Step 6: Final answer
    x = 815,188.04

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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.