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Finding the Third Proportional to 152,624.25 and 309,561.75

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Solution

The third proportional to 152,624.25 and 309,561.75 is: 627,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,624.25 : 309,561.75 = 309,561.75 : x
  2. Step 2: Convert to fraction form
    152,624.25/309,561.75 = 309,561.75/x
  3. Step 3: Cross multiply
    152,624.25x = 309,561.75 × 309,561.75
  4. Step 4: Simplify right side
    152,624.25x = 95,828,477,063.06
  5. Step 5: Solve for x
    x = 95,828,477,063.06/152,624.25
  6. Step 6: Final answer
    x = 627,871.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.