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Finding the Third Proportional to 106,248 and 228,892

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Solution

The third proportional to 106,248 and 228,892 is: 493,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,248 : 228,892 = 228,892 : x
  2. Step 2: Convert to fraction form
    106,248/228,892 = 228,892/x
  3. Step 3: Cross multiply
    106,248x = 228,892 × 228,892
  4. Step 4: Simplify right side
    106,248x = 52,391,547,664
  5. Step 5: Solve for x
    x = 52,391,547,664/106,248
  6. Step 6: Final answer
    x = 493,106.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.