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Finding the Third Proportional to 100,404 and 150,618

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Solution

The third proportional to 100,404 and 150,618 is: 225,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,404 : 150,618 = 150,618 : x
  2. Step 2: Convert to fraction form
    100,404/150,618 = 150,618/x
  3. Step 3: Cross multiply
    100,404x = 150,618 × 150,618
  4. Step 4: Simplify right side
    100,404x = 22,685,781,924
  5. Step 5: Solve for x
    x = 22,685,781,924/100,404
  6. Step 6: Final answer
    x = 225,945.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.