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Finding the Third Proportional to 162,048 and 245,310

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Solution

The third proportional to 162,048 and 245,310 is: 371,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,048 : 245,310 = 245,310 : x
  2. Step 2: Convert to fraction form
    162,048/245,310 = 245,310/x
  3. Step 3: Cross multiply
    162,048x = 245,310 × 245,310
  4. Step 4: Simplify right side
    162,048x = 60,176,996,100
  5. Step 5: Solve for x
    x = 60,176,996,100/162,048
  6. Step 6: Final answer
    x = 371,352.91

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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.