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Finding the Third Proportional to 207,099 and 307,732.50

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Solution

The third proportional to 207,099 and 307,732.50 is: 457,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,099 : 307,732.50 = 307,732.50 : x
  2. Step 2: Convert to fraction form
    207,099/307,732.50 = 307,732.50/x
  3. Step 3: Cross multiply
    207,099x = 307,732.50 × 307,732.50
  4. Step 4: Simplify right side
    207,099x = 94,699,291,556.25
  5. Step 5: Solve for x
    x = 94,699,291,556.25/207,099
  6. Step 6: Final answer
    x = 457,265.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.