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Finding the Third Proportional to 156,748 and 369,964

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Solution

The third proportional to 156,748 and 369,964 is: 873,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,748 : 369,964 = 369,964 : x
  2. Step 2: Convert to fraction form
    156,748/369,964 = 369,964/x
  3. Step 3: Cross multiply
    156,748x = 369,964 × 369,964
  4. Step 4: Simplify right side
    156,748x = 136,873,361,296
  5. Step 5: Solve for x
    x = 136,873,361,296/156,748
  6. Step 6: Final answer
    x = 873,206.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.