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Finding the Third Proportional to 171,528 and 367,664

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Solution

The third proportional to 171,528 and 367,664 is: 788,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,528 : 367,664 = 367,664 : x
  2. Step 2: Convert to fraction form
    171,528/367,664 = 367,664/x
  3. Step 3: Cross multiply
    171,528x = 367,664 × 367,664
  4. Step 4: Simplify right side
    171,528x = 135,176,816,896
  5. Step 5: Solve for x
    x = 135,176,816,896/171,528
  6. Step 6: Final answer
    x = 788,074.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.