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Finding the Third Proportional to 114,034.78 and 174,915.84

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Solution

The third proportional to 114,034.78 and 174,915.84 is: 268,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,034.78 : 174,915.84 = 174,915.84 : x
  2. Step 2: Convert to fraction form
    114,034.78/174,915.84 = 174,915.84/x
  3. Step 3: Cross multiply
    114,034.78x = 174,915.84 × 174,915.84
  4. Step 4: Simplify right side
    114,034.78x = 30,595,552,394.77
  5. Step 5: Solve for x
    x = 30,595,552,394.77/114,034.78
  6. Step 6: Final answer
    x = 268,300.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.