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Finding the Third Proportional to 71,482.40 and 154,733.10

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Solution

The third proportional to 71,482.40 and 154,733.10 is: 334,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,482.40 : 154,733.10 = 154,733.10 : x
  2. Step 2: Convert to fraction form
    71,482.40/154,733.10 = 154,733.10/x
  3. Step 3: Cross multiply
    71,482.40x = 154,733.10 × 154,733.10
  4. Step 4: Simplify right side
    71,482.40x = 23,942,331,510.30
  5. Step 5: Solve for x
    x = 23,942,331,510.30/71,482.40
  6. Step 6: Final answer
    x = 334,940.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.