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Finding the Third Proportional to 156,464 and 320,365

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Solution

The third proportional to 156,464 and 320,365 is: 655,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,464 : 320,365 = 320,365 : x
  2. Step 2: Convert to fraction form
    156,464/320,365 = 320,365/x
  3. Step 3: Cross multiply
    156,464x = 320,365 × 320,365
  4. Step 4: Simplify right side
    156,464x = 102,633,733,225
  5. Step 5: Solve for x
    x = 102,633,733,225/156,464
  6. Step 6: Final answer
    x = 655,957.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.