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Finding the Third Proportional to 152,320.50 and 334,179

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Solution

The third proportional to 152,320.50 and 334,179 is: 733,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,320.50 : 334,179 = 334,179 : x
  2. Step 2: Convert to fraction form
    152,320.50/334,179 = 334,179/x
  3. Step 3: Cross multiply
    152,320.50x = 334,179 × 334,179
  4. Step 4: Simplify right side
    152,320.50x = 111,675,604,041
  5. Step 5: Solve for x
    x = 111,675,604,041/152,320.50
  6. Step 6: Final answer
    x = 733,162.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.