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Finding the Third Proportional to 245,214 and 329,528.25

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Solution

The third proportional to 245,214 and 329,528.25 is: 442,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,214 : 329,528.25 = 329,528.25 : x
  2. Step 2: Convert to fraction form
    245,214/329,528.25 = 329,528.25/x
  3. Step 3: Cross multiply
    245,214x = 329,528.25 × 329,528.25
  4. Step 4: Simplify right side
    245,214x = 108,588,867,548.06
  5. Step 5: Solve for x
    x = 108,588,867,548.06/245,214
  6. Step 6: Final answer
    x = 442,833.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.