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Finding the Third Proportional to 201,288.50 and 438,748

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Solution

The third proportional to 201,288.50 and 438,748 is: 956,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,288.50 : 438,748 = 438,748 : x
  2. Step 2: Convert to fraction form
    201,288.50/438,748 = 438,748/x
  3. Step 3: Cross multiply
    201,288.50x = 438,748 × 438,748
  4. Step 4: Simplify right side
    201,288.50x = 192,499,807,504
  5. Step 5: Solve for x
    x = 192,499,807,504/201,288.50
  6. Step 6: Final answer
    x = 956,337.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.