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Finding the Third Proportional to 160,937 and 236,475

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Solution

The third proportional to 160,937 and 236,475 is: 347,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,937 : 236,475 = 236,475 : x
  2. Step 2: Convert to fraction form
    160,937/236,475 = 236,475/x
  3. Step 3: Cross multiply
    160,937x = 236,475 × 236,475
  4. Step 4: Simplify right side
    160,937x = 55,920,425,625
  5. Step 5: Solve for x
    x = 55,920,425,625/160,937
  6. Step 6: Final answer
    x = 347,467.80

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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.