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Finding the Third Proportional to 101,316 and 220,470

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Solution

The third proportional to 101,316 and 220,470 is: 479,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,316 : 220,470 = 220,470 : x
  2. Step 2: Convert to fraction form
    101,316/220,470 = 220,470/x
  3. Step 3: Cross multiply
    101,316x = 220,470 × 220,470
  4. Step 4: Simplify right side
    101,316x = 48,607,020,900
  5. Step 5: Solve for x
    x = 48,607,020,900/101,316
  6. Step 6: Final answer
    x = 479,756.61

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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.