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Finding the Third Proportional to 237,208 and 360,700

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Solution

The third proportional to 237,208 and 360,700 is: 548,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,208 : 360,700 = 360,700 : x
  2. Step 2: Convert to fraction form
    237,208/360,700 = 360,700/x
  3. Step 3: Cross multiply
    237,208x = 360,700 × 360,700
  4. Step 4: Simplify right side
    237,208x = 130,104,490,000
  5. Step 5: Solve for x
    x = 130,104,490,000/237,208
  6. Step 6: Final answer
    x = 548,482.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.