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Finding the Third Proportional to 246,097.50 and 351,913.50

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Solution

The third proportional to 246,097.50 and 351,913.50 is: 503,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,097.50 : 351,913.50 = 351,913.50 : x
  2. Step 2: Convert to fraction form
    246,097.50/351,913.50 = 351,913.50/x
  3. Step 3: Cross multiply
    246,097.50x = 351,913.50 × 351,913.50
  4. Step 4: Simplify right side
    246,097.50x = 123,843,111,482.25
  5. Step 5: Solve for x
    x = 123,843,111,482.25/246,097.50
  6. Step 6: Final answer
    x = 503,227.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.