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Finding the Third Proportional to 134,808 and 209,304

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Solution

The third proportional to 134,808 and 209,304 is: 324,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,808 : 209,304 = 209,304 : x
  2. Step 2: Convert to fraction form
    134,808/209,304 = 209,304/x
  3. Step 3: Cross multiply
    134,808x = 209,304 × 209,304
  4. Step 4: Simplify right side
    134,808x = 43,808,164,416
  5. Step 5: Solve for x
    x = 43,808,164,416/134,808
  6. Step 6: Final answer
    x = 324,967.10

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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.