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Finding the Third Proportional to 210,234 and 334,686

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Solution

The third proportional to 210,234 and 334,686 is: 532,809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,234 : 334,686 = 334,686 : x
  2. Step 2: Convert to fraction form
    210,234/334,686 = 334,686/x
  3. Step 3: Cross multiply
    210,234x = 334,686 × 334,686
  4. Step 4: Simplify right side
    210,234x = 112,014,718,596
  5. Step 5: Solve for x
    x = 112,014,718,596/210,234
  6. Step 6: Final answer
    x = 532,809.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.