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Finding the Third Proportional to 238,164 and 328,082

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Solution

The third proportional to 238,164 and 328,082 is: 451,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,164 : 328,082 = 328,082 : x
  2. Step 2: Convert to fraction form
    238,164/328,082 = 328,082/x
  3. Step 3: Cross multiply
    238,164x = 328,082 × 328,082
  4. Step 4: Simplify right side
    238,164x = 107,637,798,724
  5. Step 5: Solve for x
    x = 107,637,798,724/238,164
  6. Step 6: Final answer
    x = 451,948.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.