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Finding the Third Proportional to 164,046 and 253,339

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Solution

The third proportional to 164,046 and 253,339 is: 391,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,046 : 253,339 = 253,339 : x
  2. Step 2: Convert to fraction form
    164,046/253,339 = 253,339/x
  3. Step 3: Cross multiply
    164,046x = 253,339 × 253,339
  4. Step 4: Simplify right side
    164,046x = 64,180,648,921
  5. Step 5: Solve for x
    x = 64,180,648,921/164,046
  6. Step 6: Final answer
    x = 391,235.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.