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Finding the Third Proportional to 183,830.63 and 253,145.25

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Solution

The third proportional to 183,830.63 and 253,145.25 is: 348,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,830.63 : 253,145.25 = 253,145.25 : x
  2. Step 2: Convert to fraction form
    183,830.63/253,145.25 = 253,145.25/x
  3. Step 3: Cross multiply
    183,830.63x = 253,145.25 × 253,145.25
  4. Step 4: Simplify right side
    183,830.63x = 64,082,517,597.56
  5. Step 5: Solve for x
    x = 64,082,517,597.56/183,830.63
  6. Step 6: Final answer
    x = 348,595.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.