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Finding the Third Proportional to 119,548 and 258,888

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Solution

The third proportional to 119,548 and 258,888 is: 560,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,548 : 258,888 = 258,888 : x
  2. Step 2: Convert to fraction form
    119,548/258,888 = 258,888/x
  3. Step 3: Cross multiply
    119,548x = 258,888 × 258,888
  4. Step 4: Simplify right side
    119,548x = 67,022,996,544
  5. Step 5: Solve for x
    x = 67,022,996,544/119,548
  6. Step 6: Final answer
    x = 560,636.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.