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Finding the Third Proportional to 153,567 and 329,364

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Solution

The third proportional to 153,567 and 329,364 is: 706,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,567 : 329,364 = 329,364 : x
  2. Step 2: Convert to fraction form
    153,567/329,364 = 329,364/x
  3. Step 3: Cross multiply
    153,567x = 329,364 × 329,364
  4. Step 4: Simplify right side
    153,567x = 108,480,644,496
  5. Step 5: Solve for x
    x = 108,480,644,496/153,567
  6. Step 6: Final answer
    x = 706,405.96

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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.