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Finding the Third Proportional to 116,139.50 and 254,423

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Solution

The third proportional to 116,139.50 and 254,423 is: 557,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,139.50 : 254,423 = 254,423 : x
  2. Step 2: Convert to fraction form
    116,139.50/254,423 = 254,423/x
  3. Step 3: Cross multiply
    116,139.50x = 254,423 × 254,423
  4. Step 4: Simplify right side
    116,139.50x = 64,731,062,929
  5. Step 5: Solve for x
    x = 64,731,062,929/116,139.50
  6. Step 6: Final answer
    x = 557,356.14

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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.