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Finding the Third Proportional to 201,123.56 and 298,206.56

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Solution

The third proportional to 201,123.56 and 298,206.56 is: 442,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,123.56 : 298,206.56 = 298,206.56 : x
  2. Step 2: Convert to fraction form
    201,123.56/298,206.56 = 298,206.56/x
  3. Step 3: Cross multiply
    201,123.56x = 298,206.56 × 298,206.56
  4. Step 4: Simplify right side
    201,123.56x = 88,927,153,918.07
  5. Step 5: Solve for x
    x = 88,927,153,918.07/201,123.56
  6. Step 6: Final answer
    x = 442,151.84

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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.