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Finding the Third Proportional to 105,362 and 228,580

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Solution

The third proportional to 105,362 and 228,580 is: 495,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,362 : 228,580 = 228,580 : x
  2. Step 2: Convert to fraction form
    105,362/228,580 = 228,580/x
  3. Step 3: Cross multiply
    105,362x = 228,580 × 228,580
  4. Step 4: Simplify right side
    105,362x = 52,248,816,400
  5. Step 5: Solve for x
    x = 52,248,816,400/105,362
  6. Step 6: Final answer
    x = 495,898.11

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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.