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Finding the Third Proportional to 133,618 and 278,292.50

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Solution

The third proportional to 133,618 and 278,292.50 is: 579,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,618 : 278,292.50 = 278,292.50 : x
  2. Step 2: Convert to fraction form
    133,618/278,292.50 = 278,292.50/x
  3. Step 3: Cross multiply
    133,618x = 278,292.50 × 278,292.50
  4. Step 4: Simplify right side
    133,618x = 77,446,715,556.25
  5. Step 5: Solve for x
    x = 77,446,715,556.25/133,618
  6. Step 6: Final answer
    x = 579,612.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.