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Finding the Third Proportional to 163,808 and 334,528

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Solution

The third proportional to 163,808 and 334,528 is: 683,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,808 : 334,528 = 334,528 : x
  2. Step 2: Convert to fraction form
    163,808/334,528 = 334,528/x
  3. Step 3: Cross multiply
    163,808x = 334,528 × 334,528
  4. Step 4: Simplify right side
    163,808x = 111,908,982,784
  5. Step 5: Solve for x
    x = 111,908,982,784/163,808
  6. Step 6: Final answer
    x = 683,171.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.