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Finding the Third Proportional to 116,688 and 238,303

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Solution

The third proportional to 116,688 and 238,303 is: 486,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,688 : 238,303 = 238,303 : x
  2. Step 2: Convert to fraction form
    116,688/238,303 = 238,303/x
  3. Step 3: Cross multiply
    116,688x = 238,303 × 238,303
  4. Step 4: Simplify right side
    116,688x = 56,788,319,809
  5. Step 5: Solve for x
    x = 56,788,319,809/116,688
  6. Step 6: Final answer
    x = 486,668.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.