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Finding the Third Proportional to 243,542 and 364,323

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Solution

The third proportional to 243,542 and 364,323 is: 545,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,542 : 364,323 = 364,323 : x
  2. Step 2: Convert to fraction form
    243,542/364,323 = 364,323/x
  3. Step 3: Cross multiply
    243,542x = 364,323 × 364,323
  4. Step 4: Simplify right side
    243,542x = 132,731,248,329
  5. Step 5: Solve for x
    x = 132,731,248,329/243,542
  6. Step 6: Final answer
    x = 545,003.52

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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.