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Finding the Third Proportional to 133,006 and 287,114

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Solution

The third proportional to 133,006 and 287,114 is: 619,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,006 : 287,114 = 287,114 : x
  2. Step 2: Convert to fraction form
    133,006/287,114 = 287,114/x
  3. Step 3: Cross multiply
    133,006x = 287,114 × 287,114
  4. Step 4: Simplify right side
    133,006x = 82,434,448,996
  5. Step 5: Solve for x
    x = 82,434,448,996/133,006
  6. Step 6: Final answer
    x = 619,779.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.