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Finding the Third Proportional to 188,742 and 294,534

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Solution

The third proportional to 188,742 and 294,534 is: 459,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,742 : 294,534 = 294,534 : x
  2. Step 2: Convert to fraction form
    188,742/294,534 = 294,534/x
  3. Step 3: Cross multiply
    188,742x = 294,534 × 294,534
  4. Step 4: Simplify right side
    188,742x = 86,750,277,156
  5. Step 5: Solve for x
    x = 86,750,277,156/188,742
  6. Step 6: Final answer
    x = 459,623.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.