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Finding the Third Proportional to 106,051.50 and 230,841

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Solution

The third proportional to 106,051.50 and 230,841 is: 502,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,051.50 : 230,841 = 230,841 : x
  2. Step 2: Convert to fraction form
    106,051.50/230,841 = 230,841/x
  3. Step 3: Cross multiply
    106,051.50x = 230,841 × 230,841
  4. Step 4: Simplify right side
    106,051.50x = 53,287,567,281
  5. Step 5: Solve for x
    x = 53,287,567,281/106,051.50
  6. Step 6: Final answer
    x = 502,468.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.