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Finding the Third Proportional to 135,160 and 287,816

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Solution

The third proportional to 135,160 and 287,816 is: 612,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,160 : 287,816 = 287,816 : x
  2. Step 2: Convert to fraction form
    135,160/287,816 = 287,816/x
  3. Step 3: Cross multiply
    135,160x = 287,816 × 287,816
  4. Step 4: Simplify right side
    135,160x = 82,838,049,856
  5. Step 5: Solve for x
    x = 82,838,049,856/135,160
  6. Step 6: Final answer
    x = 612,888.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.