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Finding the Third Proportional to 131,597.16 and 183,353.63

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Solution

The third proportional to 131,597.16 and 183,353.63 is: 255,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,597.16 : 183,353.63 = 183,353.63 : x
  2. Step 2: Convert to fraction form
    131,597.16/183,353.63 = 183,353.63/x
  3. Step 3: Cross multiply
    131,597.16x = 183,353.63 × 183,353.63
  4. Step 4: Simplify right side
    131,597.16x = 33,618,551,800.64
  5. Step 5: Solve for x
    x = 33,618,551,800.64/131,597.16
  6. Step 6: Final answer
    x = 255,465.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.