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Finding the Third Proportional to 137,937 and 295,560

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Solution

The third proportional to 137,937 and 295,560 is: 633,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,937 : 295,560 = 295,560 : x
  2. Step 2: Convert to fraction form
    137,937/295,560 = 295,560/x
  3. Step 3: Cross multiply
    137,937x = 295,560 × 295,560
  4. Step 4: Simplify right side
    137,937x = 87,355,713,600
  5. Step 5: Solve for x
    x = 87,355,713,600/137,937
  6. Step 6: Final answer
    x = 633,301.53

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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.