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Finding the Third Proportional to 201,088.13 and 298,897.88

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Solution

The third proportional to 201,088.13 and 298,897.88 is: 444,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,088.13 : 298,897.88 = 298,897.88 : x
  2. Step 2: Convert to fraction form
    201,088.13/298,897.88 = 298,897.88/x
  3. Step 3: Cross multiply
    201,088.13x = 298,897.88 × 298,897.88
  4. Step 4: Simplify right side
    201,088.13x = 89,339,939,679.52
  5. Step 5: Solve for x
    x = 89,339,939,679.52/201,088.13
  6. Step 6: Final answer
    x = 444,282.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.