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Finding the Third Proportional to 183,008 and 292,211

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Solution

The third proportional to 183,008 and 292,211 is: 466,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,008 : 292,211 = 292,211 : x
  2. Step 2: Convert to fraction form
    183,008/292,211 = 292,211/x
  3. Step 3: Cross multiply
    183,008x = 292,211 × 292,211
  4. Step 4: Simplify right side
    183,008x = 85,387,268,521
  5. Step 5: Solve for x
    x = 85,387,268,521/183,008
  6. Step 6: Final answer
    x = 466,576.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.