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Finding the Third Proportional to 238,196 and 510,928

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Solution

The third proportional to 238,196 and 510,928 is: 1,095,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,196 : 510,928 = 510,928 : x
  2. Step 2: Convert to fraction form
    238,196/510,928 = 510,928/x
  3. Step 3: Cross multiply
    238,196x = 510,928 × 510,928
  4. Step 4: Simplify right side
    238,196x = 261,047,421,184
  5. Step 5: Solve for x
    x = 261,047,421,184/238,196
  6. Step 6: Final answer
    x = 1,095,935.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.