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Finding the Third Proportional to 156,357 and 304,937

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Solution

The third proportional to 156,357 and 304,937 is: 594,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,357 : 304,937 = 304,937 : x
  2. Step 2: Convert to fraction form
    156,357/304,937 = 304,937/x
  3. Step 3: Cross multiply
    156,357x = 304,937 × 304,937
  4. Step 4: Simplify right side
    156,357x = 92,986,573,969
  5. Step 5: Solve for x
    x = 92,986,573,969/156,357
  6. Step 6: Final answer
    x = 594,706.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.