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Finding the Third Proportional to 119,565 and 263,106

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Solution

The third proportional to 119,565 and 263,106 is: 578,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,565 : 263,106 = 263,106 : x
  2. Step 2: Convert to fraction form
    119,565/263,106 = 263,106/x
  3. Step 3: Cross multiply
    119,565x = 263,106 × 263,106
  4. Step 4: Simplify right side
    119,565x = 69,224,767,236
  5. Step 5: Solve for x
    x = 69,224,767,236/119,565
  6. Step 6: Final answer
    x = 578,971.83

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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.