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Finding the Third Proportional to 128,389.50 and 200,356.50

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Solution

The third proportional to 128,389.50 and 200,356.50 is: 312,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,389.50 : 200,356.50 = 200,356.50 : x
  2. Step 2: Convert to fraction form
    128,389.50/200,356.50 = 200,356.50/x
  3. Step 3: Cross multiply
    128,389.50x = 200,356.50 × 200,356.50
  4. Step 4: Simplify right side
    128,389.50x = 40,142,727,092.25
  5. Step 5: Solve for x
    x = 40,142,727,092.25/128,389.50
  6. Step 6: Final answer
    x = 312,663.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.