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Finding the Third Proportional to 232,816.50 and 344,857.50

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Solution

The third proportional to 232,816.50 and 344,857.50 is: 510,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,816.50 : 344,857.50 = 344,857.50 : x
  2. Step 2: Convert to fraction form
    232,816.50/344,857.50 = 344,857.50/x
  3. Step 3: Cross multiply
    232,816.50x = 344,857.50 × 344,857.50
  4. Step 4: Simplify right side
    232,816.50x = 118,926,695,306.25
  5. Step 5: Solve for x
    x = 118,926,695,306.25/232,816.50
  6. Step 6: Final answer
    x = 510,817.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.