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Finding the Third Proportional to 136,528 and 211,896

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Solution

The third proportional to 136,528 and 211,896 is: 328,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,528 : 211,896 = 211,896 : x
  2. Step 2: Convert to fraction form
    136,528/211,896 = 211,896/x
  3. Step 3: Cross multiply
    136,528x = 211,896 × 211,896
  4. Step 4: Simplify right side
    136,528x = 44,899,914,816
  5. Step 5: Solve for x
    x = 44,899,914,816/136,528
  6. Step 6: Final answer
    x = 328,869.64

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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.