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Finding the Third Proportional to 182,497 and 390,215

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Solution

The third proportional to 182,497 and 390,215 is: 834,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,497 : 390,215 = 390,215 : x
  2. Step 2: Convert to fraction form
    182,497/390,215 = 390,215/x
  3. Step 3: Cross multiply
    182,497x = 390,215 × 390,215
  4. Step 4: Simplify right side
    182,497x = 152,267,746,225
  5. Step 5: Solve for x
    x = 152,267,746,225/182,497
  6. Step 6: Final answer
    x = 834,357.53

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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.