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Finding the Third Proportional to 238,156 and 513,702

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Solution

The third proportional to 238,156 and 513,702 is: 1,108,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,156 : 513,702 = 513,702 : x
  2. Step 2: Convert to fraction form
    238,156/513,702 = 513,702/x
  3. Step 3: Cross multiply
    238,156x = 513,702 × 513,702
  4. Step 4: Simplify right side
    238,156x = 263,889,744,804
  5. Step 5: Solve for x
    x = 263,889,744,804/238,156
  6. Step 6: Final answer
    x = 1,108,054.15

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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.