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Finding the Third Proportional to 163,612 and 353,000

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Solution

The third proportional to 163,612 and 353,000 is: 761,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,612 : 353,000 = 353,000 : x
  2. Step 2: Convert to fraction form
    163,612/353,000 = 353,000/x
  3. Step 3: Cross multiply
    163,612x = 353,000 × 353,000
  4. Step 4: Simplify right side
    163,612x = 124,609,000,000
  5. Step 5: Solve for x
    x = 124,609,000,000/163,612
  6. Step 6: Final answer
    x = 761,612.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.