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Finding the Third Proportional to 116,466 and 242,148

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Solution

The third proportional to 116,466 and 242,148 is: 503,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,466 : 242,148 = 242,148 : x
  2. Step 2: Convert to fraction form
    116,466/242,148 = 242,148/x
  3. Step 3: Cross multiply
    116,466x = 242,148 × 242,148
  4. Step 4: Simplify right side
    116,466x = 58,635,653,904
  5. Step 5: Solve for x
    x = 58,635,653,904/116,466
  6. Step 6: Final answer
    x = 503,457.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.