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Finding the Third Proportional to 296,151 and 433,122

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Solution

The third proportional to 296,151 and 433,122 is: 633,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,151 : 433,122 = 433,122 : x
  2. Step 2: Convert to fraction form
    296,151/433,122 = 433,122/x
  3. Step 3: Cross multiply
    296,151x = 433,122 × 433,122
  4. Step 4: Simplify right side
    296,151x = 187,594,666,884
  5. Step 5: Solve for x
    x = 187,594,666,884/296,151
  6. Step 6: Final answer
    x = 633,442.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.