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Finding the Third Proportional to 134,948 and 214,437

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Solution

The third proportional to 134,948 and 214,437 is: 340,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,948 : 214,437 = 214,437 : x
  2. Step 2: Convert to fraction form
    134,948/214,437 = 214,437/x
  3. Step 3: Cross multiply
    134,948x = 214,437 × 214,437
  4. Step 4: Simplify right side
    134,948x = 45,983,226,969
  5. Step 5: Solve for x
    x = 45,983,226,969/134,948
  6. Step 6: Final answer
    x = 340,747.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.