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Finding the Third Proportional to 132,747 and 210,303

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Solution

The third proportional to 132,747 and 210,303 is: 333,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,747 : 210,303 = 210,303 : x
  2. Step 2: Convert to fraction form
    132,747/210,303 = 210,303/x
  3. Step 3: Cross multiply
    132,747x = 210,303 × 210,303
  4. Step 4: Simplify right side
    132,747x = 44,227,351,809
  5. Step 5: Solve for x
    x = 44,227,351,809/132,747
  6. Step 6: Final answer
    x = 333,170.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.