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Finding the Third Proportional to 119,526 and 260,787

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Solution

The third proportional to 119,526 and 260,787 is: 568,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,526 : 260,787 = 260,787 : x
  2. Step 2: Convert to fraction form
    119,526/260,787 = 260,787/x
  3. Step 3: Cross multiply
    119,526x = 260,787 × 260,787
  4. Step 4: Simplify right side
    119,526x = 68,009,859,369
  5. Step 5: Solve for x
    x = 68,009,859,369/119,526
  6. Step 6: Final answer
    x = 568,996.36

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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.