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Finding the Third Proportional to 156,454 and 332,300

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Solution

The third proportional to 156,454 and 332,300 is: 705,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,454 : 332,300 = 332,300 : x
  2. Step 2: Convert to fraction form
    156,454/332,300 = 332,300/x
  3. Step 3: Cross multiply
    156,454x = 332,300 × 332,300
  4. Step 4: Simplify right side
    156,454x = 110,423,290,000
  5. Step 5: Solve for x
    x = 110,423,290,000/156,454
  6. Step 6: Final answer
    x = 705,787.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.