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Finding the Third Proportional to 210,524 and 334,648

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Solution

The third proportional to 210,524 and 334,648 is: 531,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,524 : 334,648 = 334,648 : x
  2. Step 2: Convert to fraction form
    210,524/334,648 = 334,648/x
  3. Step 3: Cross multiply
    210,524x = 334,648 × 334,648
  4. Step 4: Simplify right side
    210,524x = 111,989,283,904
  5. Step 5: Solve for x
    x = 111,989,283,904/210,524
  6. Step 6: Final answer
    x = 531,954.95

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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.