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Finding the Third Proportional to 134,590 and 283,130

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Solution

The third proportional to 134,590 and 283,130 is: 595,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,590 : 283,130 = 283,130 : x
  2. Step 2: Convert to fraction form
    134,590/283,130 = 283,130/x
  3. Step 3: Cross multiply
    134,590x = 283,130 × 283,130
  4. Step 4: Simplify right side
    134,590x = 80,162,596,900
  5. Step 5: Solve for x
    x = 80,162,596,900/134,590
  6. Step 6: Final answer
    x = 595,605.89

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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.