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Finding the Third Proportional to 182,404 and 390,039

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Solution

The third proportional to 182,404 and 390,039 is: 834,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,404 : 390,039 = 390,039 : x
  2. Step 2: Convert to fraction form
    182,404/390,039 = 390,039/x
  3. Step 3: Cross multiply
    182,404x = 390,039 × 390,039
  4. Step 4: Simplify right side
    182,404x = 152,130,421,521
  5. Step 5: Solve for x
    x = 152,130,421,521/182,404
  6. Step 6: Final answer
    x = 834,030.07

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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.