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Finding the Third Proportional to 112,629 and 242,646

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Solution

The third proportional to 112,629 and 242,646 is: 522,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,629 : 242,646 = 242,646 : x
  2. Step 2: Convert to fraction form
    112,629/242,646 = 242,646/x
  3. Step 3: Cross multiply
    112,629x = 242,646 × 242,646
  4. Step 4: Simplify right side
    112,629x = 58,877,081,316
  5. Step 5: Solve for x
    x = 58,877,081,316/112,629
  6. Step 6: Final answer
    x = 522,752.41

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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.