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Finding the Third Proportional to 230,989.50 and 345,537

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Solution

The third proportional to 230,989.50 and 345,537 is: 516,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,989.50 : 345,537 = 345,537 : x
  2. Step 2: Convert to fraction form
    230,989.50/345,537 = 345,537/x
  3. Step 3: Cross multiply
    230,989.50x = 345,537 × 345,537
  4. Step 4: Simplify right side
    230,989.50x = 119,395,818,369
  5. Step 5: Solve for x
    x = 119,395,818,369/230,989.50
  6. Step 6: Final answer
    x = 516,888.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.