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Finding the Third Proportional to 112,327 and 245,804

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Solution

The third proportional to 112,327 and 245,804 is: 537,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,327 : 245,804 = 245,804 : x
  2. Step 2: Convert to fraction form
    112,327/245,804 = 245,804/x
  3. Step 3: Cross multiply
    112,327x = 245,804 × 245,804
  4. Step 4: Simplify right side
    112,327x = 60,419,606,416
  5. Step 5: Solve for x
    x = 60,419,606,416/112,327
  6. Step 6: Final answer
    x = 537,890.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.