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Finding the Third Proportional to 112,802 and 240,827

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Solution

The third proportional to 112,802 and 240,827 is: 514,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,802 : 240,827 = 240,827 : x
  2. Step 2: Convert to fraction form
    112,802/240,827 = 240,827/x
  3. Step 3: Cross multiply
    112,802x = 240,827 × 240,827
  4. Step 4: Simplify right side
    112,802x = 57,997,643,929
  5. Step 5: Solve for x
    x = 57,997,643,929/112,802
  6. Step 6: Final answer
    x = 514,154.39

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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.