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Finding the Third Proportional to 245,731.50 and 330,210

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Solution

The third proportional to 245,731.50 and 330,210 is: 443,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,731.50 : 330,210 = 330,210 : x
  2. Step 2: Convert to fraction form
    245,731.50/330,210 = 330,210/x
  3. Step 3: Cross multiply
    245,731.50x = 330,210 × 330,210
  4. Step 4: Simplify right side
    245,731.50x = 109,038,644,100
  5. Step 5: Solve for x
    x = 109,038,644,100/245,731.50
  6. Step 6: Final answer
    x = 443,730.84

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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.