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Finding the Third Proportional to 127,616 and 298,066

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Solution

The third proportional to 127,616 and 298,066 is: 696,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,616 : 298,066 = 298,066 : x
  2. Step 2: Convert to fraction form
    127,616/298,066 = 298,066/x
  3. Step 3: Cross multiply
    127,616x = 298,066 × 298,066
  4. Step 4: Simplify right side
    127,616x = 88,843,340,356
  5. Step 5: Solve for x
    x = 88,843,340,356/127,616
  6. Step 6: Final answer
    x = 696,177.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.