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Finding the Third Proportional to 114,906 and 248,262

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Solution

The third proportional to 114,906 and 248,262 is: 536,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,906 : 248,262 = 248,262 : x
  2. Step 2: Convert to fraction form
    114,906/248,262 = 248,262/x
  3. Step 3: Cross multiply
    114,906x = 248,262 × 248,262
  4. Step 4: Simplify right side
    114,906x = 61,634,020,644
  5. Step 5: Solve for x
    x = 61,634,020,644/114,906
  6. Step 6: Final answer
    x = 536,386.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.