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Finding the Third Proportional to 142,513.50 and 301,119

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Solution

The third proportional to 142,513.50 and 301,119 is: 636,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,513.50 : 301,119 = 301,119 : x
  2. Step 2: Convert to fraction form
    142,513.50/301,119 = 301,119/x
  3. Step 3: Cross multiply
    142,513.50x = 301,119 × 301,119
  4. Step 4: Simplify right side
    142,513.50x = 90,672,652,161
  5. Step 5: Solve for x
    x = 90,672,652,161/142,513.50
  6. Step 6: Final answer
    x = 636,239.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.