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Finding the Third Proportional to 166,300 and 390,440

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Solution

The third proportional to 166,300 and 390,440 is: 916,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,300 : 390,440 = 390,440 : x
  2. Step 2: Convert to fraction form
    166,300/390,440 = 390,440/x
  3. Step 3: Cross multiply
    166,300x = 390,440 × 390,440
  4. Step 4: Simplify right side
    166,300x = 152,443,393,600
  5. Step 5: Solve for x
    x = 152,443,393,600/166,300
  6. Step 6: Final answer
    x = 916,677.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.