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Finding the Third Proportional to 133,453.50 and 290,139

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Solution

The third proportional to 133,453.50 and 290,139 is: 630,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,453.50 : 290,139 = 290,139 : x
  2. Step 2: Convert to fraction form
    133,453.50/290,139 = 290,139/x
  3. Step 3: Cross multiply
    133,453.50x = 290,139 × 290,139
  4. Step 4: Simplify right side
    133,453.50x = 84,180,639,321
  5. Step 5: Solve for x
    x = 84,180,639,321/133,453.50
  6. Step 6: Final answer
    x = 630,786.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.