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Finding the Third Proportional to 243,660 and 364,482

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Solution

The third proportional to 243,660 and 364,482 is: 545,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,660 : 364,482 = 364,482 : x
  2. Step 2: Convert to fraction form
    243,660/364,482 = 364,482/x
  3. Step 3: Cross multiply
    243,660x = 364,482 × 364,482
  4. Step 4: Simplify right side
    243,660x = 132,847,128,324
  5. Step 5: Solve for x
    x = 132,847,128,324/243,660
  6. Step 6: Final answer
    x = 545,215.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.