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Finding the Third Proportional to 160,866 and 236,651.63

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Solution

The third proportional to 160,866 and 236,651.63 is: 348,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,866 : 236,651.63 = 236,651.63 : x
  2. Step 2: Convert to fraction form
    160,866/236,651.63 = 236,651.63/x
  3. Step 3: Cross multiply
    160,866x = 236,651.63 × 236,651.63
  4. Step 4: Simplify right side
    160,866x = 56,003,991,615.14
  5. Step 5: Solve for x
    x = 56,003,991,615.14/160,866
  6. Step 6: Final answer
    x = 348,140.64

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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.