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Finding the Third Proportional to 229,106 and 492,076

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Solution

The third proportional to 229,106 and 492,076 is: 1,056,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,106 : 492,076 = 492,076 : x
  2. Step 2: Convert to fraction form
    229,106/492,076 = 492,076/x
  3. Step 3: Cross multiply
    229,106x = 492,076 × 492,076
  4. Step 4: Simplify right side
    229,106x = 242,138,789,776
  5. Step 5: Solve for x
    x = 242,138,789,776/229,106
  6. Step 6: Final answer
    x = 1,056,885.41

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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.