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Finding the Third Proportional to 117,809.50 and 257,609.50

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Solution

The third proportional to 117,809.50 and 257,609.50 is: 563,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,809.50 : 257,609.50 = 257,609.50 : x
  2. Step 2: Convert to fraction form
    117,809.50/257,609.50 = 257,609.50/x
  3. Step 3: Cross multiply
    117,809.50x = 257,609.50 × 257,609.50
  4. Step 4: Simplify right side
    117,809.50x = 66,362,654,490.25
  5. Step 5: Solve for x
    x = 66,362,654,490.25/117,809.50
  6. Step 6: Final answer
    x = 563,304.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.