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Finding the Third Proportional to 237,060 and 333,414

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Solution

The third proportional to 237,060 and 333,414 is: 468,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,060 : 333,414 = 333,414 : x
  2. Step 2: Convert to fraction form
    237,060/333,414 = 333,414/x
  3. Step 3: Cross multiply
    237,060x = 333,414 × 333,414
  4. Step 4: Simplify right side
    237,060x = 111,164,895,396
  5. Step 5: Solve for x
    x = 111,164,895,396/237,060
  6. Step 6: Final answer
    x = 468,931.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.