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Finding the Third Proportional to 153,908 and 329,713

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Solution

The third proportional to 153,908 and 329,713 is: 706,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,908 : 329,713 = 329,713 : x
  2. Step 2: Convert to fraction form
    153,908/329,713 = 329,713/x
  3. Step 3: Cross multiply
    153,908x = 329,713 × 329,713
  4. Step 4: Simplify right side
    153,908x = 108,710,662,369
  5. Step 5: Solve for x
    x = 108,710,662,369/153,908
  6. Step 6: Final answer
    x = 706,335.36

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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.