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Finding the Third Proportional to 210,324 and 326,290

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Solution

The third proportional to 210,324 and 326,290 is: 506,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,324 : 326,290 = 326,290 : x
  2. Step 2: Convert to fraction form
    210,324/326,290 = 326,290/x
  3. Step 3: Cross multiply
    210,324x = 326,290 × 326,290
  4. Step 4: Simplify right side
    210,324x = 106,465,164,100
  5. Step 5: Solve for x
    x = 106,465,164,100/210,324
  6. Step 6: Final answer
    x = 506,195.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.