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Finding the Third Proportional to 105,312 and 228,498

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Solution

The third proportional to 105,312 and 228,498 is: 495,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,312 : 228,498 = 228,498 : x
  2. Step 2: Convert to fraction form
    105,312/228,498 = 228,498/x
  3. Step 3: Cross multiply
    105,312x = 228,498 × 228,498
  4. Step 4: Simplify right side
    105,312x = 52,211,336,004
  5. Step 5: Solve for x
    x = 52,211,336,004/105,312
  6. Step 6: Final answer
    x = 495,777.65

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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.