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Finding the Third Proportional to 137,419.50 and 295,615.50

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Solution

The third proportional to 137,419.50 and 295,615.50 is: 635,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,419.50 : 295,615.50 = 295,615.50 : x
  2. Step 2: Convert to fraction form
    137,419.50/295,615.50 = 295,615.50/x
  3. Step 3: Cross multiply
    137,419.50x = 295,615.50 × 295,615.50
  4. Step 4: Simplify right side
    137,419.50x = 87,388,523,840.25
  5. Step 5: Solve for x
    x = 87,388,523,840.25/137,419.50
  6. Step 6: Final answer
    x = 635,925.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.