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Finding the Third Proportional to 182,132 and 390,580

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Solution

The third proportional to 182,132 and 390,580 is: 837,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,132 : 390,580 = 390,580 : x
  2. Step 2: Convert to fraction form
    182,132/390,580 = 390,580/x
  3. Step 3: Cross multiply
    182,132x = 390,580 × 390,580
  4. Step 4: Simplify right side
    182,132x = 152,552,736,400
  5. Step 5: Solve for x
    x = 152,552,736,400/182,132
  6. Step 6: Final answer
    x = 837,594.36

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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.