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Finding the Third Proportional to 152,552 and 328,063

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Solution

The third proportional to 152,552 and 328,063 is: 705,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,552 : 328,063 = 328,063 : x
  2. Step 2: Convert to fraction form
    152,552/328,063 = 328,063/x
  3. Step 3: Cross multiply
    152,552x = 328,063 × 328,063
  4. Step 4: Simplify right side
    152,552x = 107,625,331,969
  5. Step 5: Solve for x
    x = 107,625,331,969/152,552
  6. Step 6: Final answer
    x = 705,499.32

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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.