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Finding the Third Proportional to 112,940 and 241,424

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Solution

The third proportional to 112,940 and 241,424 is: 516,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,940 : 241,424 = 241,424 : x
  2. Step 2: Convert to fraction form
    112,940/241,424 = 241,424/x
  3. Step 3: Cross multiply
    112,940x = 241,424 × 241,424
  4. Step 4: Simplify right side
    112,940x = 58,285,547,776
  5. Step 5: Solve for x
    x = 58,285,547,776/112,940
  6. Step 6: Final answer
    x = 516,075.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.