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Finding the Third Proportional to 182,500 and 390,220

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Solution

The third proportional to 182,500 and 390,220 is: 834,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,500 : 390,220 = 390,220 : x
  2. Step 2: Convert to fraction form
    182,500/390,220 = 390,220/x
  3. Step 3: Cross multiply
    182,500x = 390,220 × 390,220
  4. Step 4: Simplify right side
    182,500x = 152,271,648,400
  5. Step 5: Solve for x
    x = 152,271,648,400/182,500
  6. Step 6: Final answer
    x = 834,365.20

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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.