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Finding the Third Proportional to 105,290 and 228,076

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Solution

The third proportional to 105,290 and 228,076 is: 494,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,290 : 228,076 = 228,076 : x
  2. Step 2: Convert to fraction form
    105,290/228,076 = 228,076/x
  3. Step 3: Cross multiply
    105,290x = 228,076 × 228,076
  4. Step 4: Simplify right side
    105,290x = 52,018,661,776
  5. Step 5: Solve for x
    x = 52,018,661,776/105,290
  6. Step 6: Final answer
    x = 494,051.30

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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.