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Finding the Third Proportional to 236,116.50 and 265,641

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Solution

The third proportional to 236,116.50 and 265,641 is: 298,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,116.50 : 265,641 = 265,641 : x
  2. Step 2: Convert to fraction form
    236,116.50/265,641 = 265,641/x
  3. Step 3: Cross multiply
    236,116.50x = 265,641 × 265,641
  4. Step 4: Simplify right side
    236,116.50x = 70,565,140,881
  5. Step 5: Solve for x
    x = 70,565,140,881/236,116.50
  6. Step 6: Final answer
    x = 298,857.31

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.