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Finding the Third Proportional to 116,835 and 254,173.13

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Solution

The third proportional to 116,835 and 254,173.13 is: 552,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,835 : 254,173.13 = 254,173.13 : x
  2. Step 2: Convert to fraction form
    116,835/254,173.13 = 254,173.13/x
  3. Step 3: Cross multiply
    116,835x = 254,173.13 × 254,173.13
  4. Step 4: Simplify right side
    116,835x = 64,603,977,472.27
  5. Step 5: Solve for x
    x = 64,603,977,472.27/116,835
  6. Step 6: Final answer
    x = 552,950.55

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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.