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Finding the Third Proportional to 116,485.63 and 254,780.13

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Solution

The third proportional to 116,485.63 and 254,780.13 is: 557,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,485.63 : 254,780.13 = 254,780.13 : x
  2. Step 2: Convert to fraction form
    116,485.63/254,780.13 = 254,780.13/x
  3. Step 3: Cross multiply
    116,485.63x = 254,780.13 × 254,780.13
  4. Step 4: Simplify right side
    116,485.63x = 64,912,912,095.02
  5. Step 5: Solve for x
    x = 64,912,912,095.02/116,485.63
  6. Step 6: Final answer
    x = 557,261.14

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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.