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Finding the Third Proportional to 237,720 and 369,276

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Solution

The third proportional to 237,720 and 369,276 is: 573,636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,720 : 369,276 = 369,276 : x
  2. Step 2: Convert to fraction form
    237,720/369,276 = 369,276/x
  3. Step 3: Cross multiply
    237,720x = 369,276 × 369,276
  4. Step 4: Simplify right side
    237,720x = 136,364,764,176
  5. Step 5: Solve for x
    x = 136,364,764,176/237,720
  6. Step 6: Final answer
    x = 573,636.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.