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Finding the Third Proportional to 117,817.51 and 252,242.54

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Solution

The third proportional to 117,817.51 and 252,242.54 is: 540,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,817.51 : 252,242.54 = 252,242.54 : x
  2. Step 2: Convert to fraction form
    117,817.51/252,242.54 = 252,242.54/x
  3. Step 3: Cross multiply
    117,817.51x = 252,242.54 × 252,242.54
  4. Step 4: Simplify right side
    117,817.51x = 63,626,300,483.34
  5. Step 5: Solve for x
    x = 63,626,300,483.34/117,817.51
  6. Step 6: Final answer
    x = 540,041.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.