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Finding the Third Proportional to 153,411 and 329,592

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Solution

The third proportional to 153,411 and 329,592 is: 708,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,411 : 329,592 = 329,592 : x
  2. Step 2: Convert to fraction form
    153,411/329,592 = 329,592/x
  3. Step 3: Cross multiply
    153,411x = 329,592 × 329,592
  4. Step 4: Simplify right side
    153,411x = 108,630,886,464
  5. Step 5: Solve for x
    x = 108,630,886,464/153,411
  6. Step 6: Final answer
    x = 708,103.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.