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Finding the Third Proportional to 153,369 and 328,060

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Solution

The third proportional to 153,369 and 328,060 is: 701,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,369 : 328,060 = 328,060 : x
  2. Step 2: Convert to fraction form
    153,369/328,060 = 328,060/x
  3. Step 3: Cross multiply
    153,369x = 328,060 × 328,060
  4. Step 4: Simplify right side
    153,369x = 107,623,363,600
  5. Step 5: Solve for x
    x = 107,623,363,600/153,369
  6. Step 6: Final answer
    x = 701,728.27

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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.