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Finding the Third Proportional to 183,133.13 and 283,528.13

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Solution

The third proportional to 183,133.13 and 283,528.13 is: 438,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,133.13 : 283,528.13 = 283,528.13 : x
  2. Step 2: Convert to fraction form
    183,133.13/283,528.13 = 283,528.13/x
  3. Step 3: Cross multiply
    183,133.13x = 283,528.13 × 283,528.13
  4. Step 4: Simplify right side
    183,133.13x = 80,388,197,666.02
  5. Step 5: Solve for x
    x = 80,388,197,666.02/183,133.13
  6. Step 6: Final answer
    x = 438,960.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.