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Finding the Third Proportional to 210,210 and 326,370

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Solution

The third proportional to 210,210 and 326,370 is: 506,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,210 : 326,370 = 326,370 : x
  2. Step 2: Convert to fraction form
    210,210/326,370 = 326,370/x
  3. Step 3: Cross multiply
    210,210x = 326,370 × 326,370
  4. Step 4: Simplify right side
    210,210x = 106,517,376,900
  5. Step 5: Solve for x
    x = 106,517,376,900/210,210
  6. Step 6: Final answer
    x = 506,718.89

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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.