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Finding the Third Proportional to 230,169 and 502,156

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Solution

The third proportional to 230,169 and 502,156 is: 1,095,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,169 : 502,156 = 502,156 : x
  2. Step 2: Convert to fraction form
    230,169/502,156 = 502,156/x
  3. Step 3: Cross multiply
    230,169x = 502,156 × 502,156
  4. Step 4: Simplify right side
    230,169x = 252,160,648,336
  5. Step 5: Solve for x
    x = 252,160,648,336/230,169
  6. Step 6: Final answer
    x = 1,095,545.66

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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.