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Finding the Third Proportional to 237,376 and 369,680

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Solution

The third proportional to 237,376 and 369,680 is: 575,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,376 : 369,680 = 369,680 : x
  2. Step 2: Convert to fraction form
    237,376/369,680 = 369,680/x
  3. Step 3: Cross multiply
    237,376x = 369,680 × 369,680
  4. Step 4: Simplify right side
    237,376x = 136,663,302,400
  5. Step 5: Solve for x
    x = 136,663,302,400/237,376
  6. Step 6: Final answer
    x = 575,725.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.