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Finding the Third Proportional to 230,166.56 and 502,151.91

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Solution

The third proportional to 230,166.56 and 502,151.91 is: 1,095,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,166.56 : 502,151.91 = 502,151.91 : x
  2. Step 2: Convert to fraction form
    230,166.56/502,151.91 = 502,151.91/x
  3. Step 3: Cross multiply
    230,166.56x = 502,151.91 × 502,151.91
  4. Step 4: Simplify right side
    230,166.56x = 252,156,536,950.51
  5. Step 5: Solve for x
    x = 252,156,536,950.51/230,166.56
  6. Step 6: Final answer
    x = 1,095,539.40

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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.