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Finding the Third Proportional to 153,108 and 328,365

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Solution

The third proportional to 153,108 and 328,365 is: 704,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,108 : 328,365 = 328,365 : x
  2. Step 2: Convert to fraction form
    153,108/328,365 = 328,365/x
  3. Step 3: Cross multiply
    153,108x = 328,365 × 328,365
  4. Step 4: Simplify right side
    153,108x = 107,823,573,225
  5. Step 5: Solve for x
    x = 107,823,573,225/153,108
  6. Step 6: Final answer
    x = 704,232.13

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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.