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Finding the Third Proportional to 118,246.50 and 178,598.25

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Solution

The third proportional to 118,246.50 and 178,598.25 is: 269,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,246.50 : 178,598.25 = 178,598.25 : x
  2. Step 2: Convert to fraction form
    118,246.50/178,598.25 = 178,598.25/x
  3. Step 3: Cross multiply
    118,246.50x = 178,598.25 × 178,598.25
  4. Step 4: Simplify right side
    118,246.50x = 31,897,334,903.06
  5. Step 5: Solve for x
    x = 31,897,334,903.06/118,246.50
  6. Step 6: Final answer
    x = 269,752.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.