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Finding the Third Proportional to 116,706 and 254,535

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Solution

The third proportional to 116,706 and 254,535 is: 555,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,706 : 254,535 = 254,535 : x
  2. Step 2: Convert to fraction form
    116,706/254,535 = 254,535/x
  3. Step 3: Cross multiply
    116,706x = 254,535 × 254,535
  4. Step 4: Simplify right side
    116,706x = 64,788,066,225
  5. Step 5: Solve for x
    x = 64,788,066,225/116,706
  6. Step 6: Final answer
    x = 555,139.12

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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.