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Finding the Third Proportional to 134,531 and 283,004.50

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Solution

The third proportional to 134,531 and 283,004.50 is: 595,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,531 : 283,004.50 = 283,004.50 : x
  2. Step 2: Convert to fraction form
    134,531/283,004.50 = 283,004.50/x
  3. Step 3: Cross multiply
    134,531x = 283,004.50 × 283,004.50
  4. Step 4: Simplify right side
    134,531x = 80,091,547,020.25
  5. Step 5: Solve for x
    x = 80,091,547,020.25/134,531
  6. Step 6: Final answer
    x = 595,338.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.