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Finding the Third Proportional to 189,646.59 and 403,428.94

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Solution

The third proportional to 189,646.59 and 403,428.94 is: 858,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,646.59 : 403,428.94 = 403,428.94 : x
  2. Step 2: Convert to fraction form
    189,646.59/403,428.94 = 403,428.94/x
  3. Step 3: Cross multiply
    189,646.59x = 403,428.94 × 403,428.94
  4. Step 4: Simplify right side
    189,646.59x = 162,754,907,612.38
  5. Step 5: Solve for x
    x = 162,754,907,612.38/189,646.59
  6. Step 6: Final answer
    x = 858,201.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.