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Finding the Third Proportional to 190,166.63 and 265,849.88

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Solution

The third proportional to 190,166.63 and 265,849.88 is: 371,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,166.63 : 265,849.88 = 265,849.88 : x
  2. Step 2: Convert to fraction form
    190,166.63/265,849.88 = 265,849.88/x
  3. Step 3: Cross multiply
    190,166.63x = 265,849.88 × 265,849.88
  4. Step 4: Simplify right side
    190,166.63x = 70,676,156,037.52
  5. Step 5: Solve for x
    x = 70,676,156,037.52/190,166.63
  6. Step 6: Final answer
    x = 371,653.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.