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Finding the Third Proportional to 102,038.25 and 238,275

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Solution

The third proportional to 102,038.25 and 238,275 is: 556,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,038.25 : 238,275 = 238,275 : x
  2. Step 2: Convert to fraction form
    102,038.25/238,275 = 238,275/x
  3. Step 3: Cross multiply
    102,038.25x = 238,275 × 238,275
  4. Step 4: Simplify right side
    102,038.25x = 56,774,975,625
  5. Step 5: Solve for x
    x = 56,774,975,625/102,038.25
  6. Step 6: Final answer
    x = 556,408.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.