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Finding the Third Proportional to 160,770 and 236,508

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Solution

The third proportional to 160,770 and 236,508 is: 347,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,770 : 236,508 = 236,508 : x
  2. Step 2: Convert to fraction form
    160,770/236,508 = 236,508/x
  3. Step 3: Cross multiply
    160,770x = 236,508 × 236,508
  4. Step 4: Simplify right side
    160,770x = 55,936,034,064
  5. Step 5: Solve for x
    x = 55,936,034,064/160,770
  6. Step 6: Final answer
    x = 347,925.82

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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.