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Finding the Third Proportional to 119,458 and 260,804

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Solution

The third proportional to 119,458 and 260,804 is: 569,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,458 : 260,804 = 260,804 : x
  2. Step 2: Convert to fraction form
    119,458/260,804 = 260,804/x
  3. Step 3: Cross multiply
    119,458x = 260,804 × 260,804
  4. Step 4: Simplify right side
    119,458x = 68,018,726,416
  5. Step 5: Solve for x
    x = 68,018,726,416/119,458
  6. Step 6: Final answer
    x = 569,394.49

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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.