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Finding the Third Proportional to 137,803 and 295,288

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Solution

The third proportional to 137,803 and 295,288 is: 632,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,803 : 295,288 = 295,288 : x
  2. Step 2: Convert to fraction form
    137,803/295,288 = 295,288/x
  3. Step 3: Cross multiply
    137,803x = 295,288 × 295,288
  4. Step 4: Simplify right side
    137,803x = 87,195,002,944
  5. Step 5: Solve for x
    x = 87,195,002,944/137,803
  6. Step 6: Final answer
    x = 632,751.12

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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.