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Finding the Third Proportional to 164,314 and 253,438

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Solution

The third proportional to 164,314 and 253,438 is: 390,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,314 : 253,438 = 253,438 : x
  2. Step 2: Convert to fraction form
    164,314/253,438 = 253,438/x
  3. Step 3: Cross multiply
    164,314x = 253,438 × 253,438
  4. Step 4: Simplify right side
    164,314x = 64,230,819,844
  5. Step 5: Solve for x
    x = 64,230,819,844/164,314
  6. Step 6: Final answer
    x = 390,902.90

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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.