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Finding the Third Proportional to 105,846 and 228,312

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Solution

The third proportional to 105,846 and 228,312 is: 492,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,846 : 228,312 = 228,312 : x
  2. Step 2: Convert to fraction form
    105,846/228,312 = 228,312/x
  3. Step 3: Cross multiply
    105,846x = 228,312 × 228,312
  4. Step 4: Simplify right side
    105,846x = 52,126,369,344
  5. Step 5: Solve for x
    x = 52,126,369,344/105,846
  6. Step 6: Final answer
    x = 492,473.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.