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Finding the Third Proportional to 213,377 and 465,154

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Solution

The third proportional to 213,377 and 465,154 is: 1,014,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,377 : 465,154 = 465,154 : x
  2. Step 2: Convert to fraction form
    213,377/465,154 = 465,154/x
  3. Step 3: Cross multiply
    213,377x = 465,154 × 465,154
  4. Step 4: Simplify right side
    213,377x = 216,368,243,716
  5. Step 5: Solve for x
    x = 216,368,243,716/213,377
  6. Step 6: Final answer
    x = 1,014,018.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.