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Finding the Third Proportional to 112,335 and 245,771

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Solution

The third proportional to 112,335 and 245,771 is: 537,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,335 : 245,771 = 245,771 : x
  2. Step 2: Convert to fraction form
    112,335/245,771 = 245,771/x
  3. Step 3: Cross multiply
    112,335x = 245,771 × 245,771
  4. Step 4: Simplify right side
    112,335x = 60,403,384,441
  5. Step 5: Solve for x
    x = 60,403,384,441/112,335
  6. Step 6: Final answer
    x = 537,707.61

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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.