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Finding the Third Proportional to 180,342 and 385,700

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Solution

The third proportional to 180,342 and 385,700 is: 824,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,342 : 385,700 = 385,700 : x
  2. Step 2: Convert to fraction form
    180,342/385,700 = 385,700/x
  3. Step 3: Cross multiply
    180,342x = 385,700 × 385,700
  4. Step 4: Simplify right side
    180,342x = 148,764,490,000
  5. Step 5: Solve for x
    x = 148,764,490,000/180,342
  6. Step 6: Final answer
    x = 824,902.07

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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.