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Finding the Third Proportional to 152,658.19 and 325,605.56

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Solution

The third proportional to 152,658.19 and 325,605.56 is: 694,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,658.19 : 325,605.56 = 325,605.56 : x
  2. Step 2: Convert to fraction form
    152,658.19/325,605.56 = 325,605.56/x
  3. Step 3: Cross multiply
    152,658.19x = 325,605.56 × 325,605.56
  4. Step 4: Simplify right side
    152,658.19x = 106,018,982,330.94
  5. Step 5: Solve for x
    x = 106,018,982,330.94/152,658.19
  6. Step 6: Final answer
    x = 694,486.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.