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Finding the Third Proportional to 185,906 and 295,464

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Solution

The third proportional to 185,906 and 295,464 is: 469,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,906 : 295,464 = 295,464 : x
  2. Step 2: Convert to fraction form
    185,906/295,464 = 295,464/x
  3. Step 3: Cross multiply
    185,906x = 295,464 × 295,464
  4. Step 4: Simplify right side
    185,906x = 87,298,975,296
  5. Step 5: Solve for x
    x = 87,298,975,296/185,906
  6. Step 6: Final answer
    x = 469,586.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.