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Finding the Third Proportional to 162,260 and 356,488

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Solution

The third proportional to 162,260 and 356,488 is: 783,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,260 : 356,488 = 356,488 : x
  2. Step 2: Convert to fraction form
    162,260/356,488 = 356,488/x
  3. Step 3: Cross multiply
    162,260x = 356,488 × 356,488
  4. Step 4: Simplify right side
    162,260x = 127,083,694,144
  5. Step 5: Solve for x
    x = 127,083,694,144/162,260
  6. Step 6: Final answer
    x = 783,210.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.