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Finding the Third Proportional to 194,686.13 and 284,637.94

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Solution

The third proportional to 194,686.13 and 284,637.94 is: 416,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,686.13 : 284,637.94 = 284,637.94 : x
  2. Step 2: Convert to fraction form
    194,686.13/284,637.94 = 284,637.94/x
  3. Step 3: Cross multiply
    194,686.13x = 284,637.94 × 284,637.94
  4. Step 4: Simplify right side
    194,686.13x = 81,018,755,464.25
  5. Step 5: Solve for x
    x = 81,018,755,464.25/194,686.13
  6. Step 6: Final answer
    x = 416,150.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.