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Finding the Third Proportional to 133,088 and 285,648

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Solution

The third proportional to 133,088 and 285,648 is: 613,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,088 : 285,648 = 285,648 : x
  2. Step 2: Convert to fraction form
    133,088/285,648 = 285,648/x
  3. Step 3: Cross multiply
    133,088x = 285,648 × 285,648
  4. Step 4: Simplify right side
    133,088x = 81,594,779,904
  5. Step 5: Solve for x
    x = 81,594,779,904/133,088
  6. Step 6: Final answer
    x = 613,088.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.