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Finding the Third Proportional to 158,484 and 324,257

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Solution

The third proportional to 158,484 and 324,257 is: 663,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,484 : 324,257 = 324,257 : x
  2. Step 2: Convert to fraction form
    158,484/324,257 = 324,257/x
  3. Step 3: Cross multiply
    158,484x = 324,257 × 324,257
  4. Step 4: Simplify right side
    158,484x = 105,142,602,049
  5. Step 5: Solve for x
    x = 105,142,602,049/158,484
  6. Step 6: Final answer
    x = 663,427.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.