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Finding the Third Proportional to 107,368 and 242,573

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Solution

The third proportional to 107,368 and 242,573 is: 548,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,368 : 242,573 = 242,573 : x
  2. Step 2: Convert to fraction form
    107,368/242,573 = 242,573/x
  3. Step 3: Cross multiply
    107,368x = 242,573 × 242,573
  4. Step 4: Simplify right side
    107,368x = 58,841,660,329
  5. Step 5: Solve for x
    x = 58,841,660,329/107,368
  6. Step 6: Final answer
    x = 548,037.22

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.