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Finding the Third Proportional to 162,072 and 245,346

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Solution

The third proportional to 162,072 and 245,346 is: 371,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,072 : 245,346 = 245,346 : x
  2. Step 2: Convert to fraction form
    162,072/245,346 = 245,346/x
  3. Step 3: Cross multiply
    162,072x = 245,346 × 245,346
  4. Step 4: Simplify right side
    162,072x = 60,194,659,716
  5. Step 5: Solve for x
    x = 60,194,659,716/162,072
  6. Step 6: Final answer
    x = 371,406.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.