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Finding the Third Proportional to 116,224 and 254,557

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Solution

The third proportional to 116,224 and 254,557 is: 557,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,224 : 254,557 = 254,557 : x
  2. Step 2: Convert to fraction form
    116,224/254,557 = 254,557/x
  3. Step 3: Cross multiply
    116,224x = 254,557 × 254,557
  4. Step 4: Simplify right side
    116,224x = 64,799,266,249
  5. Step 5: Solve for x
    x = 64,799,266,249/116,224
  6. Step 6: Final answer
    x = 557,537.74

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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.