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Finding the Third Proportional to 134,532 and 283,006.50

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Solution

The third proportional to 134,532 and 283,006.50 is: 595,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,532 : 283,006.50 = 283,006.50 : x
  2. Step 2: Convert to fraction form
    134,532/283,006.50 = 283,006.50/x
  3. Step 3: Cross multiply
    134,532x = 283,006.50 × 283,006.50
  4. Step 4: Simplify right side
    134,532x = 80,092,679,042.25
  5. Step 5: Solve for x
    x = 80,092,679,042.25/134,532
  6. Step 6: Final answer
    x = 595,342.96

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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.