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Finding the Third Proportional to 132,213 and 257,784

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Solution

The third proportional to 132,213 and 257,784 is: 502,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,213 : 257,784 = 257,784 : x
  2. Step 2: Convert to fraction form
    132,213/257,784 = 257,784/x
  3. Step 3: Cross multiply
    132,213x = 257,784 × 257,784
  4. Step 4: Simplify right side
    132,213x = 66,452,590,656
  5. Step 5: Solve for x
    x = 66,452,590,656/132,213
  6. Step 6: Final answer
    x = 502,617.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.