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Finding the Third Proportional to 116,783.44 and 254,070

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Solution

The third proportional to 116,783.44 and 254,070 is: 552,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,783.44 : 254,070 = 254,070 : x
  2. Step 2: Convert to fraction form
    116,783.44/254,070 = 254,070/x
  3. Step 3: Cross multiply
    116,783.44x = 254,070 × 254,070
  4. Step 4: Simplify right side
    116,783.44x = 64,551,564,900
  5. Step 5: Solve for x
    x = 64,551,564,900/116,783.44
  6. Step 6: Final answer
    x = 552,745.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.