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Finding the Third Proportional to 230,203.13 and 502,221

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Solution

The third proportional to 230,203.13 and 502,221 is: 1,095,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,203.13 : 502,221 = 502,221 : x
  2. Step 2: Convert to fraction form
    230,203.13/502,221 = 502,221/x
  3. Step 3: Cross multiply
    230,203.13x = 502,221 × 502,221
  4. Step 4: Simplify right side
    230,203.13x = 252,225,932,841
  5. Step 5: Solve for x
    x = 252,225,932,841/230,203.13
  6. Step 6: Final answer
    x = 1,095,666.85

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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.