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Finding the Third Proportional to 253,051 and 382,191

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Solution

The third proportional to 253,051 and 382,191 is: 577,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,051 : 382,191 = 382,191 : x
  2. Step 2: Convert to fraction form
    253,051/382,191 = 382,191/x
  3. Step 3: Cross multiply
    253,051x = 382,191 × 382,191
  4. Step 4: Simplify right side
    253,051x = 146,069,960,481
  5. Step 5: Solve for x
    x = 146,069,960,481/253,051
  6. Step 6: Final answer
    x = 577,235.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.