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Finding the Third Proportional to 156,630 and 341,488

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Solution

The third proportional to 156,630 and 341,488 is: 744,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,630 : 341,488 = 341,488 : x
  2. Step 2: Convert to fraction form
    156,630/341,488 = 341,488/x
  3. Step 3: Cross multiply
    156,630x = 341,488 × 341,488
  4. Step 4: Simplify right side
    156,630x = 116,614,054,144
  5. Step 5: Solve for x
    x = 116,614,054,144/156,630
  6. Step 6: Final answer
    x = 744,519.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.