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Finding the Third Proportional to 137,923 and 295,528

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Solution

The third proportional to 137,923 and 295,528 is: 633,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,923 : 295,528 = 295,528 : x
  2. Step 2: Convert to fraction form
    137,923/295,528 = 295,528/x
  3. Step 3: Cross multiply
    137,923x = 295,528 × 295,528
  4. Step 4: Simplify right side
    137,923x = 87,336,798,784
  5. Step 5: Solve for x
    x = 87,336,798,784/137,923
  6. Step 6: Final answer
    x = 633,228.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.