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Finding the Third Proportional to 223,217 and 336,838.25

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Solution

The third proportional to 223,217 and 336,838.25 is: 508,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,217 : 336,838.25 = 336,838.25 : x
  2. Step 2: Convert to fraction form
    223,217/336,838.25 = 336,838.25/x
  3. Step 3: Cross multiply
    223,217x = 336,838.25 × 336,838.25
  4. Step 4: Simplify right side
    223,217x = 113,460,006,663.06
  5. Step 5: Solve for x
    x = 113,460,006,663.06/223,217
  6. Step 6: Final answer
    x = 508,294.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.