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Finding the Third Proportional to 182,504 and 390,228

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Solution

The third proportional to 182,504 and 390,228 is: 834,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,504 : 390,228 = 390,228 : x
  2. Step 2: Convert to fraction form
    182,504/390,228 = 390,228/x
  3. Step 3: Cross multiply
    182,504x = 390,228 × 390,228
  4. Step 4: Simplify right side
    182,504x = 152,277,891,984
  5. Step 5: Solve for x
    x = 152,277,891,984/182,504
  6. Step 6: Final answer
    x = 834,381.12

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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.