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Finding the Third Proportional to 132,784 and 210,224

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Solution

The third proportional to 132,784 and 210,224 is: 332,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,784 : 210,224 = 210,224 : x
  2. Step 2: Convert to fraction form
    132,784/210,224 = 210,224/x
  3. Step 3: Cross multiply
    132,784x = 210,224 × 210,224
  4. Step 4: Simplify right side
    132,784x = 44,194,130,176
  5. Step 5: Solve for x
    x = 44,194,130,176/132,784
  6. Step 6: Final answer
    x = 332,827.22

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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.