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Finding the Third Proportional to 152,482.50 and 334,503

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Solution

The third proportional to 152,482.50 and 334,503 is: 733,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,482.50 : 334,503 = 334,503 : x
  2. Step 2: Convert to fraction form
    152,482.50/334,503 = 334,503/x
  3. Step 3: Cross multiply
    152,482.50x = 334,503 × 334,503
  4. Step 4: Simplify right side
    152,482.50x = 111,892,257,009
  5. Step 5: Solve for x
    x = 111,892,257,009/152,482.50
  6. Step 6: Final answer
    x = 733,803.93

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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.