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Finding the Third Proportional to 160,927 and 236,464

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Solution

The third proportional to 160,927 and 236,464 is: 347,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,927 : 236,464 = 236,464 : x
  2. Step 2: Convert to fraction form
    160,927/236,464 = 236,464/x
  3. Step 3: Cross multiply
    160,927x = 236,464 × 236,464
  4. Step 4: Simplify right side
    160,927x = 55,915,223,296
  5. Step 5: Solve for x
    x = 55,915,223,296/160,927
  6. Step 6: Final answer
    x = 347,457.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.