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Finding the Third Proportional to 237,926.25 and 368,968.50

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Solution

The third proportional to 237,926.25 and 368,968.50 is: 572,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,926.25 : 368,968.50 = 368,968.50 : x
  2. Step 2: Convert to fraction form
    237,926.25/368,968.50 = 368,968.50/x
  3. Step 3: Cross multiply
    237,926.25x = 368,968.50 × 368,968.50
  4. Step 4: Simplify right side
    237,926.25x = 136,137,753,992.25
  5. Step 5: Solve for x
    x = 136,137,753,992.25/237,926.25
  6. Step 6: Final answer
    x = 572,184.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.