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Finding the Third Proportional to 105,603.75 and 229,257

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Solution

The third proportional to 105,603.75 and 229,257 is: 497,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,603.75 : 229,257 = 229,257 : x
  2. Step 2: Convert to fraction form
    105,603.75/229,257 = 229,257/x
  3. Step 3: Cross multiply
    105,603.75x = 229,257 × 229,257
  4. Step 4: Simplify right side
    105,603.75x = 52,558,772,049
  5. Step 5: Solve for x
    x = 52,558,772,049/105,603.75
  6. Step 6: Final answer
    x = 497,697.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.