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Finding the Third Proportional to 238,158 and 513,706

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Solution

The third proportional to 238,158 and 513,706 is: 1,108,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,158 : 513,706 = 513,706 : x
  2. Step 2: Convert to fraction form
    238,158/513,706 = 513,706/x
  3. Step 3: Cross multiply
    238,158x = 513,706 × 513,706
  4. Step 4: Simplify right side
    238,158x = 263,893,854,436
  5. Step 5: Solve for x
    x = 263,893,854,436/238,158
  6. Step 6: Final answer
    x = 1,108,062.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.