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Finding the Third Proportional to 238,061 and 322,953

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Solution

The third proportional to 238,061 and 322,953 is: 438,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,061 : 322,953 = 322,953 : x
  2. Step 2: Convert to fraction form
    238,061/322,953 = 322,953/x
  3. Step 3: Cross multiply
    238,061x = 322,953 × 322,953
  4. Step 4: Simplify right side
    238,061x = 104,298,640,209
  5. Step 5: Solve for x
    x = 104,298,640,209/238,061
  6. Step 6: Final answer
    x = 438,117.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.